Algebra Examples

$- (6 a - 3 b) - (5 a - 9 b - (2 c - 9 b))$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- (6 a) - (- 3 b) - (5 a - 9 b - (2 c - 9 b))$

Step 1.2

Multiply $6$ by $- 1$ .

$- 6 a - (- 3 b) - (5 a - 9 b - (2 c - 9 b))$

Step 1.3

Multiply $- 3$ by $- 1$ .

$- 6 a + 3 b - (5 a - 9 b - (2 c - 9 b))$

Step 1.4

Simplify each term.

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Step 1.4.1

Apply the distributive property.

$- 6 a + 3 b - (5 a - 9 b - (2 c) - (- 9 b))$

Step 1.4.2

Multiply $2$ by $- 1$ .

$- 6 a + 3 b - (5 a - 9 b - 2 c - (- 9 b))$

Step 1.4.3

Multiply $- 9$ by $- 1$ .

$- 6 a + 3 b - (5 a - 9 b - 2 c + 9 b)$

$- 6 a + 3 b - (5 a - 9 b - 2 c + 9 b)$

Step 1.5

Combine the opposite terms in $5 a - 9 b - 2 c + 9 b$ .

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Step 1.5.1

Add $- 9 b$ and $9 b$ .

$- 6 a + 3 b - (5 a - 2 c + 0)$

Step 1.5.2

Add $5 a - 2 c$ and $0$ .

$- 6 a + 3 b - (5 a - 2 c)$

$- 6 a + 3 b - (5 a - 2 c)$

Step 1.6

Apply the distributive property.

$- 6 a + 3 b - (5 a) - (- 2 c)$

Step 1.7

Multiply $5$ by $- 1$ .

$- 6 a + 3 b - 5 a - (- 2 c)$

Step 1.8

Multiply $- 2$ by $- 1$ .

$- 6 a + 3 b - 5 a + 2 c$

$- 6 a + 3 b - 5 a + 2 c$

Step 2

Subtract $5 a$ from $- 6 a$ .

$- 11 a + 3 b + 2 c$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$