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Simplifying 6(2m + -10) = 5(14 + 2m) Reorder the terms: 6(-10 + 2m) = 5(14 + 2m) (-10 * 6 + 2m * 6) = 5(14 + 2m) (-60 + 12m) = 5(14 + 2m) -60 + 12m = (14 * 5 + 2m * 5) -60 + 12m = (70 + 10m) Solving -60 + 12m = 70 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -60 + 12m + -10m = 70 + 10m + -10m Combine like terms: 12m + -10m = 2m -60 + 2m = 70 + 10m + -10m Combine like terms: 10m + -10m = 0 -60 + 2m = 70 + 0 -60 + 2m = 70 Add '60' to each side of the equation. -60 + 60 + 2m = 70 + 60 Combine like terms: -60 + 60 = 0 0 + 2m = 70 + 60 2m = 70 + 60 Combine like terms: 70 + 60 = 130 2m = 130 Divide each side by '2'. m = 65 Simplifying m = 65
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