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Simplifying 3 + 12m + -2 = 9m + 21 + -7m Reorder the terms: 3 + -2 + 12m = 9m + 21 + -7m Combine like terms: 3 + -2 = 1 1 + 12m = 9m + 21 + -7m Reorder the terms: 1 + 12m = 21 + 9m + -7m Combine like terms: 9m + -7m = 2m 1 + 12m = 21 + 2m Solving 1 + 12m = 21 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 1 + 12m + -2m = 21 + 2m + -2m Combine like terms: 12m + -2m = 10m 1 + 10m = 21 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 10m = 21 + 0 1 + 10m = 21 Add '-1' to each side of the equation. 1 + -1 + 10m = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 10m = 21 + -1 10m = 21 + -1 Combine like terms: 21 + -1 = 20 10m = 20 Divide each side by '10'. m = 2 Simplifying m = 2
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