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Simplifying m + 13 = 5m + -7 Reorder the terms: 13 + m = 5m + -7 Reorder the terms: 13 + m = -7 + 5m Solving 13 + m = -7 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 13 + m + -5m = -7 + 5m + -5m Combine like terms: m + -5m = -4m 13 + -4m = -7 + 5m + -5m Combine like terms: 5m + -5m = 0 13 + -4m = -7 + 0 13 + -4m = -7 Add '-13' to each side of the equation. 13 + -13 + -4m = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4m = -7 + -13 -4m = -7 + -13 Combine like terms: -7 + -13 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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