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Simplifying -13 + 14m = 12m + 17 + 8m Reorder the terms: -13 + 14m = 17 + 12m + 8m Combine like terms: 12m + 8m = 20m -13 + 14m = 17 + 20m Solving -13 + 14m = 17 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -13 + 14m + -20m = 17 + 20m + -20m Combine like terms: 14m + -20m = -6m -13 + -6m = 17 + 20m + -20m Combine like terms: 20m + -20m = 0 -13 + -6m = 17 + 0 -13 + -6m = 17 Add '13' to each side of the equation. -13 + 13 + -6m = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -6m = 17 + 13 -6m = 17 + 13 Combine like terms: 17 + 13 = 30 -6m = 30 Divide each side by '-6'. m = -5 Simplifying m = -5
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