2(13f+17)-11f=-20-18+19f

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Solution for 2(13f+17)-11f=-20-18+19f equation:


Simplifying
2(13f + 17) + -11f = -20 + -18 + 19f

Reorder the terms:
2(17 + 13f) + -11f = -20 + -18 + 19f
(17 * 2 + 13f * 2) + -11f = -20 + -18 + 19f
(34 + 26f) + -11f = -20 + -18 + 19f

Combine like terms: 26f + -11f = 15f
34 + 15f = -20 + -18 + 19f

Combine like terms: -20 + -18 = -38
34 + 15f = -38 + 19f

Solving
34 + 15f = -38 + 19f

Solving for variable 'f'.

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

Add '-19f' to each side of the equation.
34 + 15f + -19f = -38 + 19f + -19f

Combine like terms: 15f + -19f = -4f
34 + -4f = -38 + 19f + -19f

Combine like terms: 19f + -19f = 0
34 + -4f = -38 + 0
34 + -4f = -38

Add '-34' to each side of the equation.
34 + -34 + -4f = -38 + -34

Combine like terms: 34 + -34 = 0
0 + -4f = -38 + -34
-4f = -38 + -34

Combine like terms: -38 + -34 = -72
-4f = -72

Divide each side by '-4'.
f = 18

Simplifying
f = 18

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