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Simplifying 3m + 7 = 13 + -3m Reorder the terms: 7 + 3m = 13 + -3m Solving 7 + 3m = 13 + -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. 7 + 3m + 3m = 13 + -3m + 3m Combine like terms: 3m + 3m = 6m 7 + 6m = 13 + -3m + 3m Combine like terms: -3m + 3m = 0 7 + 6m = 13 + 0 7 + 6m = 13 Add '-7' to each side of the equation. 7 + -7 + 6m = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 6m = 13 + -7 6m = 13 + -7 Combine like terms: 13 + -7 = 6 6m = 6 Divide each side by '6'. m = 1 Simplifying m = 1
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