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Simplifying 5m + 7 + -3m = 6m + -13 Reorder the terms: 7 + 5m + -3m = 6m + -13 Combine like terms: 5m + -3m = 2m 7 + 2m = 6m + -13 Reorder the terms: 7 + 2m = -13 + 6m Solving 7 + 2m = -13 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 7 + 2m + -6m = -13 + 6m + -6m Combine like terms: 2m + -6m = -4m 7 + -4m = -13 + 6m + -6m Combine like terms: 6m + -6m = 0 7 + -4m = -13 + 0 7 + -4m = -13 Add '-7' to each side of the equation. 7 + -7 + -4m = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = -13 + -7 -4m = -13 + -7 Combine like terms: -13 + -7 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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