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Simplifying 13m + -9 + 2 = 5 + 12m + 6 Reorder the terms: -9 + 2 + 13m = 5 + 12m + 6 Combine like terms: -9 + 2 = -7 -7 + 13m = 5 + 12m + 6 Reorder the terms: -7 + 13m = 5 + 6 + 12m Combine like terms: 5 + 6 = 11 -7 + 13m = 11 + 12m Solving -7 + 13m = 11 + 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. -7 + 13m + -12m = 11 + 12m + -12m Combine like terms: 13m + -12m = 1m -7 + 1m = 11 + 12m + -12m Combine like terms: 12m + -12m = 0 -7 + 1m = 11 + 0 -7 + 1m = 11 Add '7' to each side of the equation. -7 + 7 + 1m = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 1m = 11 + 7 1m = 11 + 7 Combine like terms: 11 + 7 = 18 1m = 18 Divide each side by '1'. m = 18 Simplifying m = 18
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