-3(3f-5)=-(-f+15)

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Solution for -3(3f-5)=-(-f+15) equation:


Simplifying
-3(3f + -5) = -1(-1f + 15)

Reorder the terms:
-3(-5 + 3f) = -1(-1f + 15)
(-5 * -3 + 3f * -3) = -1(-1f + 15)
(15 + -9f) = -1(-1f + 15)

Reorder the terms:
15 + -9f = -1(15 + -1f)
15 + -9f = (15 * -1 + -1f * -1)
15 + -9f = (-15 + 1f)

Solving
15 + -9f = -15 + 1f

Solving for variable 'f'.

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

Add '-1f' to each side of the equation.
15 + -9f + -1f = -15 + 1f + -1f

Combine like terms: -9f + -1f = -10f
15 + -10f = -15 + 1f + -1f

Combine like terms: 1f + -1f = 0
15 + -10f = -15 + 0
15 + -10f = -15

Add '-15' to each side of the equation.
15 + -15 + -10f = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -10f = -15 + -15
-10f = -15 + -15

Combine like terms: -15 + -15 = -30
-10f = -30

Divide each side by '-10'.
f = 3

Simplifying
f = 3

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