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Simplifying 2(5m + -1) = 3(4m + 10) Reorder the terms: 2(-1 + 5m) = 3(4m + 10) (-1 * 2 + 5m * 2) = 3(4m + 10) (-2 + 10m) = 3(4m + 10) Reorder the terms: -2 + 10m = 3(10 + 4m) -2 + 10m = (10 * 3 + 4m * 3) -2 + 10m = (30 + 12m) Solving -2 + 10m = 30 + 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. -2 + 10m + -12m = 30 + 12m + -12m Combine like terms: 10m + -12m = -2m -2 + -2m = 30 + 12m + -12m Combine like terms: 12m + -12m = 0 -2 + -2m = 30 + 0 -2 + -2m = 30 Add '2' to each side of the equation. -2 + 2 + -2m = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = 30 + 2 -2m = 30 + 2 Combine like terms: 30 + 2 = 32 -2m = 32 Divide each side by '-2'. m = -16 Simplifying m = -16
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