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Simplifying 9m + 2m + -12 = 5(m + -6) Reorder the terms: -12 + 9m + 2m = 5(m + -6) Combine like terms: 9m + 2m = 11m -12 + 11m = 5(m + -6) Reorder the terms: -12 + 11m = 5(-6 + m) -12 + 11m = (-6 * 5 + m * 5) -12 + 11m = (-30 + 5m) Solving -12 + 11m = -30 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -12 + 11m + -5m = -30 + 5m + -5m Combine like terms: 11m + -5m = 6m -12 + 6m = -30 + 5m + -5m Combine like terms: 5m + -5m = 0 -12 + 6m = -30 + 0 -12 + 6m = -30 Add '12' to each side of the equation. -12 + 12 + 6m = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 6m = -30 + 12 6m = -30 + 12 Combine like terms: -30 + 12 = -18 6m = -18 Divide each side by '6'. m = -3 Simplifying m = -3
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