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Simplifying -2(3m + 6) + -1(4m + -3) = 21 Reorder the terms: -2(6 + 3m) + -1(4m + -3) = 21 (6 * -2 + 3m * -2) + -1(4m + -3) = 21 (-12 + -6m) + -1(4m + -3) = 21 Reorder the terms: -12 + -6m + -1(-3 + 4m) = 21 -12 + -6m + (-3 * -1 + 4m * -1) = 21 -12 + -6m + (3 + -4m) = 21 Reorder the terms: -12 + 3 + -6m + -4m = 21 Combine like terms: -12 + 3 = -9 -9 + -6m + -4m = 21 Combine like terms: -6m + -4m = -10m -9 + -10m = 21 Solving -9 + -10m = 21 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -10m = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -10m = 21 + 9 -10m = 21 + 9 Combine like terms: 21 + 9 = 30 -10m = 30 Divide each side by '-10'. m = -3 Simplifying m = -3
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