-4(-4f-10)=3(2f-4)+2

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Solution for -4(-4f-10)=3(2f-4)+2 equation:


Simplifying
-4(-4f + -10) = 3(2f + -4) + 2

Reorder the terms:
-4(-10 + -4f) = 3(2f + -4) + 2
(-10 * -4 + -4f * -4) = 3(2f + -4) + 2
(40 + 16f) = 3(2f + -4) + 2

Reorder the terms:
40 + 16f = 3(-4 + 2f) + 2
40 + 16f = (-4 * 3 + 2f * 3) + 2
40 + 16f = (-12 + 6f) + 2

Reorder the terms:
40 + 16f = -12 + 2 + 6f

Combine like terms: -12 + 2 = -10
40 + 16f = -10 + 6f

Solving
40 + 16f = -10 + 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.
40 + 16f + -6f = -10 + 6f + -6f

Combine like terms: 16f + -6f = 10f
40 + 10f = -10 + 6f + -6f

Combine like terms: 6f + -6f = 0
40 + 10f = -10 + 0
40 + 10f = -10

Add '-40' to each side of the equation.
40 + -40 + 10f = -10 + -40

Combine like terms: 40 + -40 = 0
0 + 10f = -10 + -40
10f = -10 + -40

Combine like terms: -10 + -40 = -50
10f = -50

Divide each side by '10'.
f = -5

Simplifying
f = -5

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