2(f-2)+3(4f-1)=7

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Solution for 2(f-2)+3(4f-1)=7 equation: 


Simplifying
2(f + -2) + 3(4f + -1) = 7

Reorder the terms:
2(-2 + f) + 3(4f + -1) = 7
(-2 * 2 + f * 2) + 3(4f + -1) = 7
(-4 + 2f) + 3(4f + -1) = 7

Reorder the terms:
-4 + 2f + 3(-1 + 4f) = 7
-4 + 2f + (-1 * 3 + 4f * 3) = 7
-4 + 2f + (-3 + 12f) = 7

Reorder the terms:
-4 + -3 + 2f + 12f = 7

Combine like terms: -4 + -3 = -7
-7 + 2f + 12f = 7

Combine like terms: 2f + 12f = 14f
-7 + 14f = 7

Solving
-7 + 14f = 7

Solving for variable 'f'.

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

Add '7' to each side of the equation.
-7 + 7 + 14f = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 14f = 7 + 7
14f = 7 + 7

Combine like terms: 7 + 7 = 14
14f = 14

Divide each side by '14'.
f = 1

Simplifying
f = 1

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