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Simplifying 3(2f + 5) = 8f + 31 Reorder the terms: 3(5 + 2f) = 8f + 31 (5 * 3 + 2f * 3) = 8f + 31 (15 + 6f) = 8f + 31 Reorder the terms: 15 + 6f = 31 + 8f Solving 15 + 6f = 31 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 15 + 6f + -8f = 31 + 8f + -8f Combine like terms: 6f + -8f = -2f 15 + -2f = 31 + 8f + -8f Combine like terms: 8f + -8f = 0 15 + -2f = 31 + 0 15 + -2f = 31 Add '-15' to each side of the equation. 15 + -15 + -2f = 31 + -15 Combine like terms: 15 + -15 = 0 0 + -2f = 31 + -15 -2f = 31 + -15 Combine like terms: 31 + -15 = 16 -2f = 16 Divide each side by '-2'. f = -8 Simplifying f = -8
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