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Simplifying 6m + 2m + 3 = 5m + -27 Reorder the terms: 3 + 6m + 2m = 5m + -27 Combine like terms: 6m + 2m = 8m 3 + 8m = 5m + -27 Reorder the terms: 3 + 8m = -27 + 5m Solving 3 + 8m = -27 + 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. 3 + 8m + -5m = -27 + 5m + -5m Combine like terms: 8m + -5m = 3m 3 + 3m = -27 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + 3m = -27 + 0 3 + 3m = -27 Add '-3' to each side of the equation. 3 + -3 + 3m = -27 + -3 Combine like terms: 3 + -3 = 0 0 + 3m = -27 + -3 3m = -27 + -3 Combine like terms: -27 + -3 = -30 3m = -30 Divide each side by '3'. m = -10 Simplifying m = -10
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