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Simplifying 5m + 3 = 3m + -7 Reorder the terms: 3 + 5m = 3m + -7 Reorder the terms: 3 + 5m = -7 + 3m Solving 3 + 5m = -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. 3 + 5m + -3m = -7 + 3m + -3m Combine like terms: 5m + -3m = 2m 3 + 2m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + 2m = -7 + 0 3 + 2m = -7 Add '-3' to each side of the equation. 3 + -3 + 2m = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = -7 + -3 2m = -7 + -3 Combine like terms: -7 + -3 = -10 2m = -10 Divide each side by '2'. m = -5 Simplifying m = -5
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