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Simplifying 2m + -10 = 4(5 + 3m) Reorder the terms: -10 + 2m = 4(5 + 3m) -10 + 2m = (5 * 4 + 3m * 4) -10 + 2m = (20 + 12m) Solving -10 + 2m = 20 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -10 + 2m + -12m = 20 + 12m + -12m Combine like terms: 2m + -12m = -10m -10 + -10m = 20 + 12m + -12m Combine like terms: 12m + -12m = 0 -10 + -10m = 20 + 0 -10 + -10m = 20 Add '10' to each side of the equation. -10 + 10 + -10m = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -10m = 20 + 10 -10m = 20 + 10 Combine like terms: 20 + 10 = 30 -10m = 30 Divide each side by '-10'. m = -3 Simplifying m = -3
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