5(3f-1)-10f=-(2-7f)

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Solution for 5(3f-1)-10f=-(2-7f) equation:


Simplifying
5(3f + -1) + -10f = -1(2 + -7f)

Reorder the terms:
5(-1 + 3f) + -10f = -1(2 + -7f)
(-1 * 5 + 3f * 5) + -10f = -1(2 + -7f)
(-5 + 15f) + -10f = -1(2 + -7f)

Combine like terms: 15f + -10f = 5f
-5 + 5f = -1(2 + -7f)
-5 + 5f = (2 * -1 + -7f * -1)
-5 + 5f = (-2 + 7f)

Solving
-5 + 5f = -2 + 7f

Solving for variable 'f'.

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

Add '-7f' to each side of the equation.
-5 + 5f + -7f = -2 + 7f + -7f

Combine like terms: 5f + -7f = -2f
-5 + -2f = -2 + 7f + -7f

Combine like terms: 7f + -7f = 0
-5 + -2f = -2 + 0
-5 + -2f = -2

Add '5' to each side of the equation.
-5 + 5 + -2f = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -2f = -2 + 5
-2f = -2 + 5

Combine like terms: -2 + 5 = 3
-2f = 3

Divide each side by '-2'.
f = -1.5

Simplifying
f = -1.5

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