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Simplifying 5(2m + -1) + -1(7 + -2m) = -12 Reorder the terms: 5(-1 + 2m) + -1(7 + -2m) = -12 (-1 * 5 + 2m * 5) + -1(7 + -2m) = -12 (-5 + 10m) + -1(7 + -2m) = -12 -5 + 10m + (7 * -1 + -2m * -1) = -12 -5 + 10m + (-7 + 2m) = -12 Reorder the terms: -5 + -7 + 10m + 2m = -12 Combine like terms: -5 + -7 = -12 -12 + 10m + 2m = -12 Combine like terms: 10m + 2m = 12m -12 + 12m = -12 Add '12' to each side of the equation. -12 + 12 + 12m = -12 + 12 Combine like terms: -12 + 12 = 0 0 + 12m = -12 + 12 12m = -12 + 12 Combine like terms: -12 + 12 = 0 12m = 0 Solving 12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '12'. m = 0 Simplifying m = 0
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