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Simplifying 2m + -7 = 10 + 5m + 7 Reorder the terms: -7 + 2m = 10 + 5m + 7 Reorder the terms: -7 + 2m = 10 + 7 + 5m Combine like terms: 10 + 7 = 17 -7 + 2m = 17 + 5m Solving -7 + 2m = 17 + 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. -7 + 2m + -5m = 17 + 5m + -5m Combine like terms: 2m + -5m = -3m -7 + -3m = 17 + 5m + -5m Combine like terms: 5m + -5m = 0 -7 + -3m = 17 + 0 -7 + -3m = 17 Add '7' to each side of the equation. -7 + 7 + -3m = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -3m = 17 + 7 -3m = 17 + 7 Combine like terms: 17 + 7 = 24 -3m = 24 Divide each side by '-3'. m = -8 Simplifying m = -8
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