-3f+3(4f+7)=-(6f-2)

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Solution for -3f+3(4f+7)=-(6f-2) equation:


Simplifying
-3f + 3(4f + 7) = -1(6f + -2)

Reorder the terms:
-3f + 3(7 + 4f) = -1(6f + -2)
-3f + (7 * 3 + 4f * 3) = -1(6f + -2)
-3f + (21 + 12f) = -1(6f + -2)

Reorder the terms:
21 + -3f + 12f = -1(6f + -2)

Combine like terms: -3f + 12f = 9f
21 + 9f = -1(6f + -2)

Reorder the terms:
21 + 9f = -1(-2 + 6f)
21 + 9f = (-2 * -1 + 6f * -1)
21 + 9f = (2 + -6f)

Solving
21 + 9f = 2 + -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.
21 + 9f + 6f = 2 + -6f + 6f

Combine like terms: 9f + 6f = 15f
21 + 15f = 2 + -6f + 6f

Combine like terms: -6f + 6f = 0
21 + 15f = 2 + 0
21 + 15f = 2

Add '-21' to each side of the equation.
21 + -21 + 15f = 2 + -21

Combine like terms: 21 + -21 = 0
0 + 15f = 2 + -21
15f = 2 + -21

Combine like terms: 2 + -21 = -19
15f = -19

Divide each side by '15'.
f = -1.266666667

Simplifying
f = -1.266666667

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