Algebra Examples

$- 3 (- u - 1) = - 4 + 2 u$

Step 1

Simplify $- 3 (- u - 1)$ .

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Step 1.1

Rewrite.

$0 + 0 - 3 (- u - 1) = - 4 + 2 u$

Step 1.2

Simplify by adding zeros.

$- 3 (- u - 1) = - 4 + 2 u$

Step 1.3

Apply the distributive property.

$- 3 (- u) - 3 \cdot - 1 = - 4 + 2 u$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 1$ by $- 3$ .

$3 u - 3 \cdot - 1 = - 4 + 2 u$

Step 1.4.2

Multiply $- 3$ by $- 1$ .

$3 u + 3 = - 4 + 2 u$

Step 2

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

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Step 2.1

Subtract $2 u$ from both sides of the equation.

$3 u + 3 - 2 u = - 4$

Step 2.2

Subtract $2 u$ from $3 u$ .

$u + 3 = - 4$

Step 3

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

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Step 3.1

Subtract $3$ from both sides of the equation.

$u = - 4 - 3$

Step 3.2

Subtract $3$ from $- 4$ .

$u = - 7$