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Simplifying 12m + -5(2m + -9) = 3(2m + -1) + 3 Reorder the terms: 12m + -5(-9 + 2m) = 3(2m + -1) + 3 12m + (-9 * -5 + 2m * -5) = 3(2m + -1) + 3 12m + (45 + -10m) = 3(2m + -1) + 3 Reorder the terms: 45 + 12m + -10m = 3(2m + -1) + 3 Combine like terms: 12m + -10m = 2m 45 + 2m = 3(2m + -1) + 3 Reorder the terms: 45 + 2m = 3(-1 + 2m) + 3 45 + 2m = (-1 * 3 + 2m * 3) + 3 45 + 2m = (-3 + 6m) + 3 Reorder the terms: 45 + 2m = -3 + 3 + 6m Combine like terms: -3 + 3 = 0 45 + 2m = 0 + 6m 45 + 2m = 6m Solving 45 + 2m = 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 45 + 2m + -6m = 6m + -6m Combine like terms: 2m + -6m = -4m 45 + -4m = 6m + -6m Combine like terms: 6m + -6m = 0 45 + -4m = 0 Add '-45' to each side of the equation. 45 + -45 + -4m = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -4m = 0 + -45 -4m = 0 + -45 Combine like terms: 0 + -45 = -45 -4m = -45 Divide each side by '-4'. m = 11.25 Simplifying m = 11.25
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