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Simplifying 5 + 8m + -2m + 9 = -12m + -4 Reorder the terms: 5 + 9 + 8m + -2m = -12m + -4 Combine like terms: 5 + 9 = 14 14 + 8m + -2m = -12m + -4 Combine like terms: 8m + -2m = 6m 14 + 6m = -12m + -4 Reorder the terms: 14 + 6m = -4 + -12m Solving 14 + 6m = -4 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 14 + 6m + 12m = -4 + -12m + 12m Combine like terms: 6m + 12m = 18m 14 + 18m = -4 + -12m + 12m Combine like terms: -12m + 12m = 0 14 + 18m = -4 + 0 14 + 18m = -4 Add '-14' to each side of the equation. 14 + -14 + 18m = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 18m = -4 + -14 18m = -4 + -14 Combine like terms: -4 + -14 = -18 18m = -18 Divide each side by '18'. m = -1 Simplifying m = -1
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