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Simplifying 2(-3m + 6) + -5(4 + -2m) = 8 Reorder the terms: 2(6 + -3m) + -5(4 + -2m) = 8 (6 * 2 + -3m * 2) + -5(4 + -2m) = 8 (12 + -6m) + -5(4 + -2m) = 8 12 + -6m + (4 * -5 + -2m * -5) = 8 12 + -6m + (-20 + 10m) = 8 Reorder the terms: 12 + -20 + -6m + 10m = 8 Combine like terms: 12 + -20 = -8 -8 + -6m + 10m = 8 Combine like terms: -6m + 10m = 4m -8 + 4m = 8 Solving -8 + 4m = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4m = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4m = 8 + 8 4m = 8 + 8 Combine like terms: 8 + 8 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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