10-2f=7+6(5-8f)

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Solution for 10-2f=7+6(5-8f) equation:


Simplifying
10 + -2f = 7 + 6(5 + -8f)
10 + -2f = 7 + (5 * 6 + -8f * 6)
10 + -2f = 7 + (30 + -48f)

Combine like terms: 7 + 30 = 37
10 + -2f = 37 + -48f

Solving
10 + -2f = 37 + -48f

Solving for variable 'f'.

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

Add '48f' to each side of the equation.
10 + -2f + 48f = 37 + -48f + 48f

Combine like terms: -2f + 48f = 46f
10 + 46f = 37 + -48f + 48f

Combine like terms: -48f + 48f = 0
10 + 46f = 37 + 0
10 + 46f = 37

Add '-10' to each side of the equation.
10 + -10 + 46f = 37 + -10

Combine like terms: 10 + -10 = 0
0 + 46f = 37 + -10
46f = 37 + -10

Combine like terms: 37 + -10 = 27
46f = 27

Divide each side by '46'.
f = 0.5869565217

Simplifying
f = 0.5869565217

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