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Simplifying 30 + -6m = -6(3m + 7) Reorder the terms: 30 + -6m = -6(7 + 3m) 30 + -6m = (7 * -6 + 3m * -6) 30 + -6m = (-42 + -18m) Solving 30 + -6m = -42 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 30 + -6m + 18m = -42 + -18m + 18m Combine like terms: -6m + 18m = 12m 30 + 12m = -42 + -18m + 18m Combine like terms: -18m + 18m = 0 30 + 12m = -42 + 0 30 + 12m = -42 Add '-30' to each side of the equation. 30 + -30 + 12m = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 12m = -42 + -30 12m = -42 + -30 Combine like terms: -42 + -30 = -72 12m = -72 Divide each side by '12'. m = -6 Simplifying m = -6
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