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Simplifying 3m + 6 + -13m = -2 + -14m Reorder the terms: 6 + 3m + -13m = -2 + -14m Combine like terms: 3m + -13m = -10m 6 + -10m = -2 + -14m Solving 6 + -10m = -2 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. 6 + -10m + 14m = -2 + -14m + 14m Combine like terms: -10m + 14m = 4m 6 + 4m = -2 + -14m + 14m Combine like terms: -14m + 14m = 0 6 + 4m = -2 + 0 6 + 4m = -2 Add '-6' to each side of the equation. 6 + -6 + 4m = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 4m = -2 + -6 4m = -2 + -6 Combine like terms: -2 + -6 = -8 4m = -8 Divide each side by '4'. m = -2 Simplifying m = -2
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