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Simplifying 1m + 9 = 12m + -8m + 21 Reorder the terms: 9 + 1m = 12m + -8m + 21 Reorder the terms: 9 + 1m = 21 + 12m + -8m Combine like terms: 12m + -8m = 4m 9 + 1m = 21 + 4m Solving 9 + 1m = 21 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 9 + 1m + -4m = 21 + 4m + -4m Combine like terms: 1m + -4m = -3m 9 + -3m = 21 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + -3m = 21 + 0 9 + -3m = 21 Add '-9' to each side of the equation. 9 + -9 + -3m = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -3m = 21 + -9 -3m = 21 + -9 Combine like terms: 21 + -9 = 12 -3m = 12 Divide each side by '-3'. m = -4 Simplifying m = -4
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