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Simplifying 5(1 + f) + 8 = 3(f + -1) (1 * 5 + f * 5) + 8 = 3(f + -1) (5 + 5f) + 8 = 3(f + -1) Reorder the terms: 5 + 8 + 5f = 3(f + -1) Combine like terms: 5 + 8 = 13 13 + 5f = 3(f + -1) Reorder the terms: 13 + 5f = 3(-1 + f) 13 + 5f = (-1 * 3 + f * 3) 13 + 5f = (-3 + 3f) Solving 13 + 5f = -3 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 13 + 5f + -3f = -3 + 3f + -3f Combine like terms: 5f + -3f = 2f 13 + 2f = -3 + 3f + -3f Combine like terms: 3f + -3f = 0 13 + 2f = -3 + 0 13 + 2f = -3 Add '-13' to each side of the equation. 13 + -13 + 2f = -3 + -13 Combine like terms: 13 + -13 = 0 0 + 2f = -3 + -13 2f = -3 + -13 Combine like terms: -3 + -13 = -16 2f = -16 Divide each side by '2'. f = -8 Simplifying f = -8
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