2(2f+1)-3(f-5)=18

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Solution for 2(2f+1)-3(f-5)=18 equation:


Simplifying
2(2f + 1) + -3(f + -5) = 18

Reorder the terms:
2(1 + 2f) + -3(f + -5) = 18
(1 * 2 + 2f * 2) + -3(f + -5) = 18
(2 + 4f) + -3(f + -5) = 18

Reorder the terms:
2 + 4f + -3(-5 + f) = 18
2 + 4f + (-5 * -3 + f * -3) = 18
2 + 4f + (15 + -3f) = 18

Reorder the terms:
2 + 15 + 4f + -3f = 18

Combine like terms: 2 + 15 = 17
17 + 4f + -3f = 18

Combine like terms: 4f + -3f = 1f
17 + 1f = 18

Solving
17 + 1f = 18

Solving for variable 'f'.

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

Add '-17' to each side of the equation.
17 + -17 + 1f = 18 + -17

Combine like terms: 17 + -17 = 0
0 + 1f = 18 + -17
1f = 18 + -17

Combine like terms: 18 + -17 = 1
1f = 1

Divide each side by '1'.
f = 1

Simplifying
f = 1

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