5(2f-1)+6=7f-8

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Solution for 5(2f-1)+6=7f-8 equation:


Simplifying
5(2f + -1) + 6 = 7f + -8

Reorder the terms:
5(-1 + 2f) + 6 = 7f + -8
(-1 * 5 + 2f * 5) + 6 = 7f + -8
(-5 + 10f) + 6 = 7f + -8

Reorder the terms:
-5 + 6 + 10f = 7f + -8

Combine like terms: -5 + 6 = 1
1 + 10f = 7f + -8

Reorder the terms:
1 + 10f = -8 + 7f

Solving
1 + 10f = -8 + 7f

Solving for variable 'f'.

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

Add '-7f' to each side of the equation.
1 + 10f + -7f = -8 + 7f + -7f

Combine like terms: 10f + -7f = 3f
1 + 3f = -8 + 7f + -7f

Combine like terms: 7f + -7f = 0
1 + 3f = -8 + 0
1 + 3f = -8

Add '-1' to each side of the equation.
1 + -1 + 3f = -8 + -1

Combine like terms: 1 + -1 = 0
0 + 3f = -8 + -1
3f = -8 + -1

Combine like terms: -8 + -1 = -9
3f = -9

Divide each side by '3'.
f = -3

Simplifying
f = -3

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