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Simplifying 3(-2m + 6) + 3(m + 6) = -2m + -5m Reorder the terms: 3(6 + -2m) + 3(m + 6) = -2m + -5m (6 * 3 + -2m * 3) + 3(m + 6) = -2m + -5m (18 + -6m) + 3(m + 6) = -2m + -5m Reorder the terms: 18 + -6m + 3(6 + m) = -2m + -5m 18 + -6m + (6 * 3 + m * 3) = -2m + -5m 18 + -6m + (18 + 3m) = -2m + -5m Reorder the terms: 18 + 18 + -6m + 3m = -2m + -5m Combine like terms: 18 + 18 = 36 36 + -6m + 3m = -2m + -5m Combine like terms: -6m + 3m = -3m 36 + -3m = -2m + -5m Combine like terms: -2m + -5m = -7m 36 + -3m = -7m Solving 36 + -3m = -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 36 + -3m + 7m = -7m + 7m Combine like terms: -3m + 7m = 4m 36 + 4m = -7m + 7m Combine like terms: -7m + 7m = 0 36 + 4m = 0 Add '-36' to each side of the equation. 36 + -36 + 4m = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4m = 0 + -36 4m = 0 + -36 Combine like terms: 0 + -36 = -36 4m = -36 Divide each side by '4'. m = -9 Simplifying m = -9
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