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Simplifying -3 + -3(2m + -6) = 3(m + 1) + -5m Reorder the terms: -3 + -3(-6 + 2m) = 3(m + 1) + -5m -3 + (-6 * -3 + 2m * -3) = 3(m + 1) + -5m -3 + (18 + -6m) = 3(m + 1) + -5m Combine like terms: -3 + 18 = 15 15 + -6m = 3(m + 1) + -5m Reorder the terms: 15 + -6m = 3(1 + m) + -5m 15 + -6m = (1 * 3 + m * 3) + -5m 15 + -6m = (3 + 3m) + -5m Combine like terms: 3m + -5m = -2m 15 + -6m = 3 + -2m Solving 15 + -6m = 3 + -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. 15 + -6m + 2m = 3 + -2m + 2m Combine like terms: -6m + 2m = -4m 15 + -4m = 3 + -2m + 2m Combine like terms: -2m + 2m = 0 15 + -4m = 3 + 0 15 + -4m = 3 Add '-15' to each side of the equation. 15 + -15 + -4m = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4m = 3 + -15 -4m = 3 + -15 Combine like terms: 3 + -15 = -12 -4m = -12 Divide each side by '-4'. m = 3 Simplifying m = 3
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