g(f(6))=3(2x+7)-2

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Solution for g(f(6))=3(2x+7)-2 equation:


Simplifying
g(f(6)) = 3(2x + 7) + -2

Reorder the terms for easier multiplication:
g(6f) = 3(2x + 7) + -2

Remove parenthesis around (6f)
g * 6f = 3(2x + 7) + -2

Reorder the terms for easier multiplication:
6g * f = 3(2x + 7) + -2

Multiply g * f
6fg = 3(2x + 7) + -2

Reorder the terms:
6fg = 3(7 + 2x) + -2
6fg = (7 * 3 + 2x * 3) + -2
6fg = (21 + 6x) + -2

Reorder the terms:
6fg = 21 + -2 + 6x

Combine like terms: 21 + -2 = 19
6fg = 19 + 6x

Solving
6fg = 19 + 6x

Solving for variable 'f'.

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

Divide each side by '6g'.
f = 3.166666667g-1 + g-1x

Simplifying
f = 3.166666667g-1 + g-1x

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