Basic Math Examples

$- 6 (- 5 u + 8) - 7 u = 5 (- 8) - 4$

Step 1

Simplify $- 6 (- 5 u + 8) - 7 u$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 6 (- 5 u) - 6 \cdot 8 - 7 u = 5 (- 8) - 4$

Step 1.1.2

Multiply $- 5$ by $- 6$ .

$30 u - 6 \cdot 8 - 7 u = 5 (- 8) - 4$

Step 1.1.3

Multiply $- 6$ by $8$ .

$30 u - 48 - 7 u = 5 (- 8) - 4$

Step 1.2

Subtract $7 u$ from $30 u$ .

$23 u - 48 = 5 (- 8) - 4$

Step 2

Simplify $5 (- 8) - 4$ .

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Step 2.1

Multiply $5$ by $- 8$ .

$23 u - 48 = - 40 - 4$

Step 2.2

Subtract $4$ from $- 40$ .

$23 u - 48 = - 44$

Step 3

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

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Step 3.1

Add $48$ to both sides of the equation.

$23 u = - 44 + 48$

Step 3.2

Add $- 44$ and $48$ .

$23 u = 4$

Step 4

Divide each term in $23 u = 4$ by $23$ and simplify.

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Step 4.1

Divide each term in $23 u = 4$ by $23$ .

$\frac{23 u}{23} = \frac{4}{23}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $23$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{23 u}{23} = \frac{4}{23}$

Step 4.2.1.2

Divide $u$ by $1$ .

$u = \frac{4}{23}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$u = \frac{4}{23}$

Decimal Form:

$u = 0.17391304 \dots$