Algebra Examples

$7 m = 7 (2 m - 3)$

Step 1

Simplify $7 (2 m - 3)$ .

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Step 1.1

Apply the distributive property.

$7 m = 7 (2 m) + 7 \cdot - 3$

Step 1.2

Multiply.

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Step 1.2.1

Multiply $2$ by $7$ .

$7 m = 14 m + 7 \cdot - 3$

Step 1.2.2

Multiply $7$ by $- 3$ .

$7 m = 14 m - 21$

Step 2

Move all terms containing $m$ to the left side of the equation.

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Step 2.1

Subtract $14 m$ from both sides of the equation.

$7 m - 14 m = - 21$

Step 2.2

Subtract $14 m$ from $7 m$ .

$- 7 m = - 21$

Step 3

Divide each term in $- 7 m = - 21$ by $- 7$ and simplify.

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Step 3.1

Divide each term in $- 7 m = - 21$ by $- 7$ .

$\frac{- 7 m}{- 7} = \frac{- 21}{- 7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 7 m}{- 7} = \frac{- 21}{- 7}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m = \frac{- 21}{- 7}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 21$ by $- 7$ .

$m = 3$