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Simplifying 6m + 5 + -7m = 10 + -5m + 3 Reorder the terms: 5 + 6m + -7m = 10 + -5m + 3 Combine like terms: 6m + -7m = -1m 5 + -1m = 10 + -5m + 3 Reorder the terms: 5 + -1m = 10 + 3 + -5m Combine like terms: 10 + 3 = 13 5 + -1m = 13 + -5m Solving 5 + -1m = 13 + -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. 5 + -1m + 5m = 13 + -5m + 5m Combine like terms: -1m + 5m = 4m 5 + 4m = 13 + -5m + 5m Combine like terms: -5m + 5m = 0 5 + 4m = 13 + 0 5 + 4m = 13 Add '-5' to each side of the equation. 5 + -5 + 4m = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = 13 + -5 4m = 13 + -5 Combine like terms: 13 + -5 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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