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Simplifying 4(3m + -5) + 2(6 + -4m) = 0 Reorder the terms: 4(-5 + 3m) + 2(6 + -4m) = 0 (-5 * 4 + 3m * 4) + 2(6 + -4m) = 0 (-20 + 12m) + 2(6 + -4m) = 0 -20 + 12m + (6 * 2 + -4m * 2) = 0 -20 + 12m + (12 + -8m) = 0 Reorder the terms: -20 + 12 + 12m + -8m = 0 Combine like terms: -20 + 12 = -8 -8 + 12m + -8m = 0 Combine like terms: 12m + -8m = 4m -8 + 4m = 0 Solving -8 + 4m = 0 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 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4m = 0 + 8 4m = 0 + 8 Combine like terms: 0 + 8 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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