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Simplifying -2(m + 10) = 2m + 3(m + -9) Reorder the terms: -2(10 + m) = 2m + 3(m + -9) (10 * -2 + m * -2) = 2m + 3(m + -9) (-20 + -2m) = 2m + 3(m + -9) Reorder the terms: -20 + -2m = 2m + 3(-9 + m) -20 + -2m = 2m + (-9 * 3 + m * 3) -20 + -2m = 2m + (-27 + 3m) Reorder the terms: -20 + -2m = -27 + 2m + 3m Combine like terms: 2m + 3m = 5m -20 + -2m = -27 + 5m Solving -20 + -2m = -27 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -20 + -2m + -5m = -27 + 5m + -5m Combine like terms: -2m + -5m = -7m -20 + -7m = -27 + 5m + -5m Combine like terms: 5m + -5m = 0 -20 + -7m = -27 + 0 -20 + -7m = -27 Add '20' to each side of the equation. -20 + 20 + -7m = -27 + 20 Combine like terms: -20 + 20 = 0 0 + -7m = -27 + 20 -7m = -27 + 20 Combine like terms: -27 + 20 = -7 -7m = -7 Divide each side by '-7'. m = 1 Simplifying m = 1
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