5-(f+3)=-1+2(f-3)

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


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

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

Combine like terms: 5 + -3 = 2
2 + -1f = -1 + 2(f + -3)

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

Combine like terms: -1 + -6 = -7
2 + -1f = -7 + 2f

Solving
2 + -1f = -7 + 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.
2 + -1f + -2f = -7 + 2f + -2f

Combine like terms: -1f + -2f = -3f
2 + -3f = -7 + 2f + -2f

Combine like terms: 2f + -2f = 0
2 + -3f = -7 + 0
2 + -3f = -7

Add '-2' to each side of the equation.
2 + -2 + -3f = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -3f = -7 + -2
-3f = -7 + -2

Combine like terms: -7 + -2 = -9
-3f = -9

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

Simplifying
f = 3

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