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Simplifying 10m + 12n + 5m + 3n + 35 = 0 Reorder the terms: 35 + 10m + 5m + 12n + 3n = 0 Combine like terms: 10m + 5m = 15m 35 + 15m + 12n + 3n = 0 Combine like terms: 12n + 3n = 15n 35 + 15m + 15n = 0 Solving 35 + 15m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 15m + -35 + 15n = 0 + -35 Reorder the terms: 35 + -35 + 15m + 15n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 15m + 15n = 0 + -35 15m + 15n = 0 + -35 Combine like terms: 0 + -35 = -35 15m + 15n = -35 Add '-15n' to each side of the equation. 15m + 15n + -15n = -35 + -15n Combine like terms: 15n + -15n = 0 15m + 0 = -35 + -15n 15m = -35 + -15n Divide each side by '15'. m = -2.333333333 + -1n Simplifying m = -2.333333333 + -1n
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