3(f-14)+7(f-12)=14

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Solution for 3(f-14)+7(f-12)=14 equation: 


Simplifying
3(f + -14) + 7(f + -12) = 14

Reorder the terms:
3(-14 + f) + 7(f + -12) = 14
(-14 * 3 + f * 3) + 7(f + -12) = 14
(-42 + 3f) + 7(f + -12) = 14

Reorder the terms:
-42 + 3f + 7(-12 + f) = 14
-42 + 3f + (-12 * 7 + f * 7) = 14
-42 + 3f + (-84 + 7f) = 14

Reorder the terms:
-42 + -84 + 3f + 7f = 14

Combine like terms: -42 + -84 = -126
-126 + 3f + 7f = 14

Combine like terms: 3f + 7f = 10f
-126 + 10f = 14

Solving
-126 + 10f = 14

Solving for variable 'f'.

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

Add '126' to each side of the equation.
-126 + 126 + 10f = 14 + 126

Combine like terms: -126 + 126 = 0
0 + 10f = 14 + 126
10f = 14 + 126

Combine like terms: 14 + 126 = 140
10f = 140

Divide each side by '10'.
f = 14

Simplifying
f = 14

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