4(2f+7)-13=3f+5-5f

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Solution for 4(2f+7)-13=3f+5-5f equation: 


Simplifying
4(2f + 7) + -13 = 3f + 5 + -5f

Reorder the terms:
4(7 + 2f) + -13 = 3f + 5 + -5f
(7 * 4 + 2f * 4) + -13 = 3f + 5 + -5f
(28 + 8f) + -13 = 3f + 5 + -5f

Reorder the terms:
28 + -13 + 8f = 3f + 5 + -5f

Combine like terms: 28 + -13 = 15
15 + 8f = 3f + 5 + -5f

Reorder the terms:
15 + 8f = 5 + 3f + -5f

Combine like terms: 3f + -5f = -2f
15 + 8f = 5 + -2f

Solving
15 + 8f = 5 + -2f

Solving for variable 'f'.

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

Add '2f' to each side of the equation.
15 + 8f + 2f = 5 + -2f + 2f

Combine like terms: 8f + 2f = 10f
15 + 10f = 5 + -2f + 2f

Combine like terms: -2f + 2f = 0
15 + 10f = 5 + 0
15 + 10f = 5

Add '-15' to each side of the equation.
15 + -15 + 10f = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 10f = 5 + -15
10f = 5 + -15

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

Divide each side by '10'.
f = -1

Simplifying
f = -1

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