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Simplifying 3(2f + 5) = 5(f + 1) Reorder the terms: 3(5 + 2f) = 5(f + 1) (5 * 3 + 2f * 3) = 5(f + 1) (15 + 6f) = 5(f + 1) Reorder the terms: 15 + 6f = 5(1 + f) 15 + 6f = (1 * 5 + f * 5) 15 + 6f = (5 + 5f) Solving 15 + 6f = 5 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. 15 + 6f + -5f = 5 + 5f + -5f Combine like terms: 6f + -5f = 1f 15 + 1f = 5 + 5f + -5f Combine like terms: 5f + -5f = 0 15 + 1f = 5 + 0 15 + 1f = 5 Add '-15' to each side of the equation. 15 + -15 + 1f = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 1f = 5 + -15 1f = 5 + -15 Combine like terms: 5 + -15 = -10 1f = -10 Divide each side by '1'. f = -10 Simplifying f = -10
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