Pre-Algebra Examples

$16 - (16 + 12) + 13 (- 19 m - 0.18) = - 27 - 15$

Step 1

Simplify $16 - (16 + 12) + 13 (- 19 m - 0.18)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Add $16$ and $12$ .

$16 - 1 \cdot 28 + 13 (- 19 m - 0.18) = - 27 - 15$

Step 1.1.2

Multiply $- 1$ by $28$ .

$16 - 28 + 13 (- 19 m - 0.18) = - 27 - 15$

Step 1.1.3

Apply the distributive property.

$16 - 28 + 13 (- 19 m) + 13 \cdot - 0.18 = - 27 - 15$

Step 1.1.4

Multiply $- 19$ by $13$ .

$16 - 28 - 247 m + 13 \cdot - 0.18 = - 27 - 15$

Step 1.1.5

Multiply $13$ by $- 0.18$ .

$16 - 28 - 247 m - 2.34 = - 27 - 15$

Step 1.2

Simplify by subtracting numbers.

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Step 1.2.1

Subtract $28$ from $16$ .

$- 12 - 247 m - 2.34 = - 27 - 15$

Step 1.2.2

Subtract $2.34$ from $- 12$ .

$- 247 m - 14.34 = - 27 - 15$

Step 2

Subtract $15$ from $- 27$ .

$- 247 m - 14.34 = - 42$

Step 3

Move all terms not containing $m$ to the right side of the equation.

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Step 3.1

Add $14.34$ to both sides of the equation.

$- 247 m = - 42 + 14.34$

Step 3.2

Add $- 42$ and $14.34$ .

$- 247 m = - 27.66$

Step 4

Divide each term in $- 247 m = - 27.66$ by $- 247$ and simplify.

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Step 4.1

Divide each term in $- 247 m = - 27.66$ by $- 247$ .

$\frac{- 247 m}{- 247} = \frac{- 27.66}{- 247}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 247$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 247 m}{- 247} = \frac{- 27.66}{- 247}$

Step 4.2.1.2

Divide $m$ by $1$ .

$m = \frac{- 27.66}{- 247}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 27.66$ by $- 247$ .

$m = 0.1119838$