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Simplifying 1(20 + -3m) = 8(m + 5) (20 * 1 + -3m * 1) = 8(m + 5) (20 + -3m) = 8(m + 5) Reorder the terms: 20 + -3m = 8(5 + m) 20 + -3m = (5 * 8 + m * 8) 20 + -3m = (40 + 8m) Solving 20 + -3m = 40 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 20 + -3m + -8m = 40 + 8m + -8m Combine like terms: -3m + -8m = -11m 20 + -11m = 40 + 8m + -8m Combine like terms: 8m + -8m = 0 20 + -11m = 40 + 0 20 + -11m = 40 Add '-20' to each side of the equation. 20 + -20 + -11m = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -11m = 40 + -20 -11m = 40 + -20 Combine like terms: 40 + -20 = 20 -11m = 20 Divide each side by '-11'. m = -1.818181818 Simplifying m = -1.818181818
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