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Simplifying 6m + 13 = 9m + -5 Reorder the terms: 13 + 6m = 9m + -5 Reorder the terms: 13 + 6m = -5 + 9m Solving 13 + 6m = -5 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 13 + 6m + -9m = -5 + 9m + -9m Combine like terms: 6m + -9m = -3m 13 + -3m = -5 + 9m + -9m Combine like terms: 9m + -9m = 0 13 + -3m = -5 + 0 13 + -3m = -5 Add '-13' to each side of the equation. 13 + -13 + -3m = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3m = -5 + -13 -3m = -5 + -13 Combine like terms: -5 + -13 = -18 -3m = -18 Divide each side by '-3'. m = 6 Simplifying m = 6
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