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Simplifying 20 = 5(3m + 6) + 8(m + -7) Reorder the terms: 20 = 5(6 + 3m) + 8(m + -7) 20 = (6 * 5 + 3m * 5) + 8(m + -7) 20 = (30 + 15m) + 8(m + -7) Reorder the terms: 20 = 30 + 15m + 8(-7 + m) 20 = 30 + 15m + (-7 * 8 + m * 8) 20 = 30 + 15m + (-56 + 8m) Reorder the terms: 20 = 30 + -56 + 15m + 8m Combine like terms: 30 + -56 = -26 20 = -26 + 15m + 8m Combine like terms: 15m + 8m = 23m 20 = -26 + 23m Solving 20 = -26 + 23m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23m' to each side of the equation. 20 + -23m = -26 + 23m + -23m Combine like terms: 23m + -23m = 0 20 + -23m = -26 + 0 20 + -23m = -26 Add '-20' to each side of the equation. 20 + -20 + -23m = -26 + -20 Combine like terms: 20 + -20 = 0 0 + -23m = -26 + -20 -23m = -26 + -20 Combine like terms: -26 + -20 = -46 -23m = -46 Divide each side by '-23'. m = 2 Simplifying m = 2
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