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Simplifying -3(m + 4) + -5m = 2(1 + -1m) + 3 Reorder the terms: -3(4 + m) + -5m = 2(1 + -1m) + 3 (4 * -3 + m * -3) + -5m = 2(1 + -1m) + 3 (-12 + -3m) + -5m = 2(1 + -1m) + 3 Combine like terms: -3m + -5m = -8m -12 + -8m = 2(1 + -1m) + 3 -12 + -8m = (1 * 2 + -1m * 2) + 3 -12 + -8m = (2 + -2m) + 3 Reorder the terms: -12 + -8m = 2 + 3 + -2m Combine like terms: 2 + 3 = 5 -12 + -8m = 5 + -2m Solving -12 + -8m = 5 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -12 + -8m + 2m = 5 + -2m + 2m Combine like terms: -8m + 2m = -6m -12 + -6m = 5 + -2m + 2m Combine like terms: -2m + 2m = 0 -12 + -6m = 5 + 0 -12 + -6m = 5 Add '12' to each side of the equation. -12 + 12 + -6m = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -6m = 5 + 12 -6m = 5 + 12 Combine like terms: 5 + 12 = 17 -6m = 17 Divide each side by '-6'. m = -2.833333333 Simplifying m = -2.833333333
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