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Simplifying 2m + 13 = 3m + -7 Reorder the terms: 13 + 2m = 3m + -7 Reorder the terms: 13 + 2m = -7 + 3m Solving 13 + 2m = -7 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 13 + 2m + -3m = -7 + 3m + -3m Combine like terms: 2m + -3m = -1m 13 + -1m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + -1m = -7 + 0 13 + -1m = -7 Add '-13' to each side of the equation. 13 + -13 + -1m = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -1m = -7 + -13 -1m = -7 + -13 Combine like terms: -7 + -13 = -20 -1m = -20 Divide each side by '-1'. m = 20 Simplifying m = 20
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