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Simplifying 2m + 13 + -1m = 12 + 6m + -9 Reorder the terms: 13 + 2m + -1m = 12 + 6m + -9 Combine like terms: 2m + -1m = 1m 13 + 1m = 12 + 6m + -9 Reorder the terms: 13 + 1m = 12 + -9 + 6m Combine like terms: 12 + -9 = 3 13 + 1m = 3 + 6m Solving 13 + 1m = 3 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 13 + 1m + -6m = 3 + 6m + -6m Combine like terms: 1m + -6m = -5m 13 + -5m = 3 + 6m + -6m Combine like terms: 6m + -6m = 0 13 + -5m = 3 + 0 13 + -5m = 3 Add '-13' to each side of the equation. 13 + -13 + -5m = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -5m = 3 + -13 -5m = 3 + -13 Combine like terms: 3 + -13 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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