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

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


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

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

Reorder the terms:
3 + 2f = 2 + -3(3 + f)
3 + 2f = 2 + (3 * -3 + f * -3)
3 + 2f = 2 + (-9 + -3f)

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

Solving
3 + 2f = -7 + -3f

Solving for variable 'f'.

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

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

Combine like terms: 2f + 3f = 5f
3 + 5f = -7 + -3f + 3f

Combine like terms: -3f + 3f = 0
3 + 5f = -7 + 0
3 + 5f = -7

Add '-3' to each side of the equation.
3 + -3 + 5f = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 5f = -7 + -3
5f = -7 + -3

Combine like terms: -7 + -3 = -10
5f = -10

Divide each side by '5'.
f = -2

Simplifying
f = -2

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