3(f+2)+9=5f+13

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Solution for 3(f+2)+9=5f+13 equation: 


Simplifying
3(f + 2) + 9 = 5f + 13

Reorder the terms:
3(2 + f) + 9 = 5f + 13
(2 * 3 + f * 3) + 9 = 5f + 13
(6 + 3f) + 9 = 5f + 13

Reorder the terms:
6 + 9 + 3f = 5f + 13

Combine like terms: 6 + 9 = 15
15 + 3f = 5f + 13

Reorder the terms:
15 + 3f = 13 + 5f

Solving
15 + 3f = 13 + 5f

Solving for variable 'f'.

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

Add '-5f' to each side of the equation.
15 + 3f + -5f = 13 + 5f + -5f

Combine like terms: 3f + -5f = -2f
15 + -2f = 13 + 5f + -5f

Combine like terms: 5f + -5f = 0
15 + -2f = 13 + 0
15 + -2f = 13

Add '-15' to each side of the equation.
15 + -15 + -2f = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -2f = 13 + -15
-2f = 13 + -15

Combine like terms: 13 + -15 = -2
-2f = -2

Divide each side by '-2'.
f = 1

Simplifying
f = 1

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