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Simplifying m + 3 + -5 = -5m + 3m + 7 Reorder the terms: 3 + -5 + m = -5m + 3m + 7 Combine like terms: 3 + -5 = -2 -2 + m = -5m + 3m + 7 Reorder the terms: -2 + m = 7 + -5m + 3m Combine like terms: -5m + 3m = -2m -2 + m = 7 + -2m Solving -2 + m = 7 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -2 + m + 2m = 7 + -2m + 2m Combine like terms: m + 2m = 3m -2 + 3m = 7 + -2m + 2m Combine like terms: -2m + 2m = 0 -2 + 3m = 7 + 0 -2 + 3m = 7 Add '2' to each side of the equation. -2 + 2 + 3m = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3m = 7 + 2 3m = 7 + 2 Combine like terms: 7 + 2 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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