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Simplifying 3(4m + -10) + 5(2m + -12) = 20 Reorder the terms: 3(-10 + 4m) + 5(2m + -12) = 20 (-10 * 3 + 4m * 3) + 5(2m + -12) = 20 (-30 + 12m) + 5(2m + -12) = 20 Reorder the terms: -30 + 12m + 5(-12 + 2m) = 20 -30 + 12m + (-12 * 5 + 2m * 5) = 20 -30 + 12m + (-60 + 10m) = 20 Reorder the terms: -30 + -60 + 12m + 10m = 20 Combine like terms: -30 + -60 = -90 -90 + 12m + 10m = 20 Combine like terms: 12m + 10m = 22m -90 + 22m = 20 Solving -90 + 22m = 20 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 22m = 20 + 90 Combine like terms: -90 + 90 = 0 0 + 22m = 20 + 90 22m = 20 + 90 Combine like terms: 20 + 90 = 110 22m = 110 Divide each side by '22'. m = 5 Simplifying m = 5
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