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Simplifying 7m + -35 = 10 + 2m Reorder the terms: -35 + 7m = 10 + 2m Solving -35 + 7m = 10 + 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. -35 + 7m + -2m = 10 + 2m + -2m Combine like terms: 7m + -2m = 5m -35 + 5m = 10 + 2m + -2m Combine like terms: 2m + -2m = 0 -35 + 5m = 10 + 0 -35 + 5m = 10 Add '35' to each side of the equation. -35 + 35 + 5m = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 5m = 10 + 35 5m = 10 + 35 Combine like terms: 10 + 35 = 45 5m = 45 Divide each side by '5'. m = 9 Simplifying m = 9
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