6(f+3)=-2(f+31)

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Solution for 6(f+3)=-2(f+31) equation:


Simplifying
6(f + 3) = -2(f + 31)

Reorder the terms:
6(3 + f) = -2(f + 31)
(3 * 6 + f * 6) = -2(f + 31)
(18 + 6f) = -2(f + 31)

Reorder the terms:
18 + 6f = -2(31 + f)
18 + 6f = (31 * -2 + f * -2)
18 + 6f = (-62 + -2f)

Solving
18 + 6f = -62 + -2f

Solving for variable 'f'.

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

Add '2f' to each side of the equation.
18 + 6f + 2f = -62 + -2f + 2f

Combine like terms: 6f + 2f = 8f
18 + 8f = -62 + -2f + 2f

Combine like terms: -2f + 2f = 0
18 + 8f = -62 + 0
18 + 8f = -62

Add '-18' to each side of the equation.
18 + -18 + 8f = -62 + -18

Combine like terms: 18 + -18 = 0
0 + 8f = -62 + -18
8f = -62 + -18

Combine like terms: -62 + -18 = -80
8f = -80

Divide each side by '8'.
f = -10

Simplifying
f = -10

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