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Simplifying 6(5m + 7) + 6m = -174 Reorder the terms: 6(7 + 5m) + 6m = -174 (7 * 6 + 5m * 6) + 6m = -174 (42 + 30m) + 6m = -174 Combine like terms: 30m + 6m = 36m 42 + 36m = -174 Solving 42 + 36m = -174 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 36m = -174 + -42 Combine like terms: 42 + -42 = 0 0 + 36m = -174 + -42 36m = -174 + -42 Combine like terms: -174 + -42 = -216 36m = -216 Divide each side by '36'. m = -6 Simplifying m = -6
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