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Simplifying -8m + 10n + 9 + 3m + -6n + -10 + y = 0 Reorder the terms: 9 + -10 + -8m + 3m + 10n + -6n + y = 0 Combine like terms: 9 + -10 = -1 -1 + -8m + 3m + 10n + -6n + y = 0 Combine like terms: -8m + 3m = -5m -1 + -5m + 10n + -6n + y = 0 Combine like terms: 10n + -6n = 4n -1 + -5m + 4n + y = 0 Solving -1 + -5m + 4n + y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5m + 4n + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + -5m + 4n + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5m + 4n + y = 0 + 1 -5m + 4n + y = 0 + 1 Combine like terms: 0 + 1 = 1 -5m + 4n + y = 1 Add '-4n' to each side of the equation. -5m + 4n + -4n + y = 1 + -4n Combine like terms: 4n + -4n = 0 -5m + 0 + y = 1 + -4n -5m + y = 1 + -4n Add '-1y' to each side of the equation. -5m + y + -1y = 1 + -4n + -1y Combine like terms: y + -1y = 0 -5m + 0 = 1 + -4n + -1y -5m = 1 + -4n + -1y Divide each side by '-5'. m = -0.2 + 0.8n + 0.2y Simplifying m = -0.2 + 0.8n + 0.2y
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