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Simplifying 12m + 22 + -3m = 2m + -13 Reorder the terms: 22 + 12m + -3m = 2m + -13 Combine like terms: 12m + -3m = 9m 22 + 9m = 2m + -13 Reorder the terms: 22 + 9m = -13 + 2m Solving 22 + 9m = -13 + 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. 22 + 9m + -2m = -13 + 2m + -2m Combine like terms: 9m + -2m = 7m 22 + 7m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 22 + 7m = -13 + 0 22 + 7m = -13 Add '-22' to each side of the equation. 22 + -22 + 7m = -13 + -22 Combine like terms: 22 + -22 = 0 0 + 7m = -13 + -22 7m = -13 + -22 Combine like terms: -13 + -22 = -35 7m = -35 Divide each side by '7'. m = -5 Simplifying m = -5
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