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Simplifying -2(5 + -10m) = 10(3m + -6) (5 * -2 + -10m * -2) = 10(3m + -6) (-10 + 20m) = 10(3m + -6) Reorder the terms: -10 + 20m = 10(-6 + 3m) -10 + 20m = (-6 * 10 + 3m * 10) -10 + 20m = (-60 + 30m) Solving -10 + 20m = -60 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. -10 + 20m + -30m = -60 + 30m + -30m Combine like terms: 20m + -30m = -10m -10 + -10m = -60 + 30m + -30m Combine like terms: 30m + -30m = 0 -10 + -10m = -60 + 0 -10 + -10m = -60 Add '10' to each side of the equation. -10 + 10 + -10m = -60 + 10 Combine like terms: -10 + 10 = 0 0 + -10m = -60 + 10 -10m = -60 + 10 Combine like terms: -60 + 10 = -50 -10m = -50 Divide each side by '-10'. m = 5 Simplifying m = 5
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