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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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