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Simplifying 5(2m + -1) + -2(-5m + 5n) = 0 Reorder the terms: 5(-1 + 2m) + -2(-5m + 5n) = 0 (-1 * 5 + 2m * 5) + -2(-5m + 5n) = 0 (-5 + 10m) + -2(-5m + 5n) = 0 -5 + 10m + (-5m * -2 + 5n * -2) = 0 -5 + 10m + (10m + -10n) = 0 Combine like terms: 10m + 10m = 20m -5 + 20m + -10n = 0 Solving -5 + 20m + -10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 20m + 5 + -10n = 0 + 5 Reorder the terms: -5 + 5 + 20m + -10n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 20m + -10n = 0 + 5 20m + -10n = 0 + 5 Combine like terms: 0 + 5 = 5 20m + -10n = 5 Add '10n' to each side of the equation. 20m + -10n + 10n = 5 + 10n Combine like terms: -10n + 10n = 0 20m + 0 = 5 + 10n 20m = 5 + 10n Divide each side by '20'. m = 0.25 + 0.5n Simplifying m = 0.25 + 0.5n
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