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Simplifying 10 + 2 = 3m + 6 + -2m + -15 Combine like terms: 10 + 2 = 12 12 = 3m + 6 + -2m + -15 Reorder the terms: 12 = 6 + -15 + 3m + -2m Combine like terms: 6 + -15 = -9 12 = -9 + 3m + -2m Combine like terms: 3m + -2m = 1m 12 = -9 + 1m Solving 12 = -9 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 12 + -1m = -9 + 1m + -1m Combine like terms: 1m + -1m = 0 12 + -1m = -9 + 0 12 + -1m = -9 Add '-12' to each side of the equation. 12 + -12 + -1m = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = -9 + -12 -1m = -9 + -12 Combine like terms: -9 + -12 = -21 -1m = -21 Divide each side by '-1'. m = 21 Simplifying m = 21
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