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Simplifying 21 + 8y + 10m + -5y + -5m + 10 = 0 Reorder the terms: 21 + 10 + 10m + -5m + 8y + -5y = 0 Combine like terms: 21 + 10 = 31 31 + 10m + -5m + 8y + -5y = 0 Combine like terms: 10m + -5m = 5m 31 + 5m + 8y + -5y = 0 Combine like terms: 8y + -5y = 3y 31 + 5m + 3y = 0 Solving 31 + 5m + 3y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + 5m + -31 + 3y = 0 + -31 Reorder the terms: 31 + -31 + 5m + 3y = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 5m + 3y = 0 + -31 5m + 3y = 0 + -31 Combine like terms: 0 + -31 = -31 5m + 3y = -31 Add '-3y' to each side of the equation. 5m + 3y + -3y = -31 + -3y Combine like terms: 3y + -3y = 0 5m + 0 = -31 + -3y 5m = -31 + -3y Divide each side by '5'. m = -6.2 + -0.6y Simplifying m = -6.2 + -0.6y
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