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Simplifying -9m + -10 + 14m = 35 + 10m + -15 Reorder the terms: -10 + -9m + 14m = 35 + 10m + -15 Combine like terms: -9m + 14m = 5m -10 + 5m = 35 + 10m + -15 Reorder the terms: -10 + 5m = 35 + -15 + 10m Combine like terms: 35 + -15 = 20 -10 + 5m = 20 + 10m Solving -10 + 5m = 20 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -10 + 5m + -10m = 20 + 10m + -10m Combine like terms: 5m + -10m = -5m -10 + -5m = 20 + 10m + -10m Combine like terms: 10m + -10m = 0 -10 + -5m = 20 + 0 -10 + -5m = 20 Add '10' to each side of the equation. -10 + 10 + -5m = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -5m = 20 + 10 -5m = 20 + 10 Combine like terms: 20 + 10 = 30 -5m = 30 Divide each side by '-5'. m = -6 Simplifying m = -6
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