Algebra Examples

$- 6 (10 - 4 f) = - 3 (- 12 - 8 f)$

Simplify $- 6 (10 - 4 f)$ .

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Start simplifying.

$0 + 0 - 6 (10 - 4 f) = - 3 (- 12 - 8 f)$

Simplify by adding zeros.

$- 6 (10 - 4 f) = - 3 (- 12 - 8 f)$

Apply the distributive property.

$- 6 \cdot 10 - 6 (- 4 f) = - 3 (- 12 - 8 f)$

Multiply.

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Multiply $- 6$ by $10$ .

$- 60 - 6 (- 4 f) = - 3 (- 12 - 8 f)$

Multiply $- 4$ by $- 6$ .

$- 60 + 24 f = - 3 (- 12 - 8 f)$

Simplify $- 3 (- 12 - 8 f)$ .

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Apply the distributive property.

$- 60 + 24 f = - 3 \cdot - 12 - 3 (- 8 f)$

Multiply.

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Multiply $- 3$ by $- 12$ .

$- 60 + 24 f = 36 - 3 (- 8 f)$

Multiply $- 8$ by $- 3$ .

$- 60 + 24 f = 36 + 24 f$

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

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Subtract $24 f$ from both sides of the equation.

$- 60 + 24 f - 24 f = 36$

Combine the opposite terms in $- 60 + 24 f - 24 f$ .

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Subtract $24 f$ from $24 f$ .

$- 60 + 0 = 36$

Add $- 60$ and $0$ .

$- 60 = 36$

Since $- 60 \neq 36$ , there are no solutions.

No solution