7(2f+3)-8=6f+29

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Solution for 7(2f+3)-8=6f+29 equation:


Simplifying
7(2f + 3) + -8 = 6f + 29

Reorder the terms:
7(3 + 2f) + -8 = 6f + 29
(3 * 7 + 2f * 7) + -8 = 6f + 29
(21 + 14f) + -8 = 6f + 29

Reorder the terms:
21 + -8 + 14f = 6f + 29

Combine like terms: 21 + -8 = 13
13 + 14f = 6f + 29

Reorder the terms:
13 + 14f = 29 + 6f

Solving
13 + 14f = 29 + 6f

Solving for variable 'f'.

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

Add '-6f' to each side of the equation.
13 + 14f + -6f = 29 + 6f + -6f

Combine like terms: 14f + -6f = 8f
13 + 8f = 29 + 6f + -6f

Combine like terms: 6f + -6f = 0
13 + 8f = 29 + 0
13 + 8f = 29

Add '-13' to each side of the equation.
13 + -13 + 8f = 29 + -13

Combine like terms: 13 + -13 = 0
0 + 8f = 29 + -13
8f = 29 + -13

Combine like terms: 29 + -13 = 16
8f = 16

Divide each side by '8'.
f = 2

Simplifying
f = 2

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