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Simplifying 18 + 2(17f + 14) = -7(-4f + 8) Reorder the terms: 18 + 2(14 + 17f) = -7(-4f + 8) 18 + (14 * 2 + 17f * 2) = -7(-4f + 8) 18 + (28 + 34f) = -7(-4f + 8) Combine like terms: 18 + 28 = 46 46 + 34f = -7(-4f + 8) Reorder the terms: 46 + 34f = -7(8 + -4f) 46 + 34f = (8 * -7 + -4f * -7) 46 + 34f = (-56 + 28f) Solving 46 + 34f = -56 + 28f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-28f' to each side of the equation. 46 + 34f + -28f = -56 + 28f + -28f Combine like terms: 34f + -28f = 6f 46 + 6f = -56 + 28f + -28f Combine like terms: 28f + -28f = 0 46 + 6f = -56 + 0 46 + 6f = -56 Add '-46' to each side of the equation. 46 + -46 + 6f = -56 + -46 Combine like terms: 46 + -46 = 0 0 + 6f = -56 + -46 6f = -56 + -46 Combine like terms: -56 + -46 = -102 6f = -102 Divide each side by '6'. f = -17 Simplifying f = -17
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