5(f-4)=-8(f+9)

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Solution for 5(f-4)=-8(f+9) equation:


Simplifying
5(f + -4) = -8(f + 9)

Reorder the terms:
5(-4 + f) = -8(f + 9)
(-4 * 5 + f * 5) = -8(f + 9)
(-20 + 5f) = -8(f + 9)

Reorder the terms:
-20 + 5f = -8(9 + f)
-20 + 5f = (9 * -8 + f * -8)
-20 + 5f = (-72 + -8f)

Solving
-20 + 5f = -72 + -8f

Solving for variable 'f'.

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

Add '8f' to each side of the equation.
-20 + 5f + 8f = -72 + -8f + 8f

Combine like terms: 5f + 8f = 13f
-20 + 13f = -72 + -8f + 8f

Combine like terms: -8f + 8f = 0
-20 + 13f = -72 + 0
-20 + 13f = -72

Add '20' to each side of the equation.
-20 + 20 + 13f = -72 + 20

Combine like terms: -20 + 20 = 0
0 + 13f = -72 + 20
13f = -72 + 20

Combine like terms: -72 + 20 = -52
13f = -52

Divide each side by '13'.
f = -4

Simplifying
f = -4

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