3(8+7f)=5(-6-3f)

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Solution for 3(8+7f)=5(-6-3f) equation:


Simplifying
3(8 + 7f) = 5(-6 + -3f)
(8 * 3 + 7f * 3) = 5(-6 + -3f)
(24 + 21f) = 5(-6 + -3f)
24 + 21f = (-6 * 5 + -3f * 5)
24 + 21f = (-30 + -15f)

Solving
24 + 21f = -30 + -15f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '15f' to each side of the equation.
24 + 21f + 15f = -30 + -15f + 15f

Combine like terms: 21f + 15f = 36f
24 + 36f = -30 + -15f + 15f

Combine like terms: -15f + 15f = 0
24 + 36f = -30 + 0
24 + 36f = -30

Add '-24' to each side of the equation.
24 + -24 + 36f = -30 + -24

Combine like terms: 24 + -24 = 0
0 + 36f = -30 + -24
36f = -30 + -24

Combine like terms: -30 + -24 = -54
36f = -54

Divide each side by '36'.
f = -1.5

Simplifying
f = -1.5

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