-13f+15-14f=17+8(-4f+1)

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Solution for -13f+15-14f=17+8(-4f+1) equation: 


Simplifying
-13f + 15 + -14f = 17 + 8(-4f + 1)

Reorder the terms:
15 + -13f + -14f = 17 + 8(-4f + 1)

Combine like terms: -13f + -14f = -27f
15 + -27f = 17 + 8(-4f + 1)

Reorder the terms:
15 + -27f = 17 + 8(1 + -4f)
15 + -27f = 17 + (1 * 8 + -4f * 8)
15 + -27f = 17 + (8 + -32f)

Combine like terms: 17 + 8 = 25
15 + -27f = 25 + -32f

Solving
15 + -27f = 25 + -32f

Solving for variable 'f'.

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

Add '32f' to each side of the equation.
15 + -27f + 32f = 25 + -32f + 32f

Combine like terms: -27f + 32f = 5f
15 + 5f = 25 + -32f + 32f

Combine like terms: -32f + 32f = 0
15 + 5f = 25 + 0
15 + 5f = 25

Add '-15' to each side of the equation.
15 + -15 + 5f = 25 + -15

Combine like terms: 15 + -15 = 0
0 + 5f = 25 + -15
5f = 25 + -15

Combine like terms: 25 + -15 = 10
5f = 10

Divide each side by '5'.
f = 2

Simplifying
f = 2

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