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Simplifying -5(1 + -8n) + -2(5n + -8) = -19 (1 * -5 + -8n * -5) + -2(5n + -8) = -19 (-5 + 40n) + -2(5n + -8) = -19 Reorder the terms: -5 + 40n + -2(-8 + 5n) = -19 -5 + 40n + (-8 * -2 + 5n * -2) = -19 -5 + 40n + (16 + -10n) = -19 Reorder the terms: -5 + 16 + 40n + -10n = -19 Combine like terms: -5 + 16 = 11 11 + 40n + -10n = -19 Combine like terms: 40n + -10n = 30n 11 + 30n = -19 Solving 11 + 30n = -19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 30n = -19 + -11 Combine like terms: 11 + -11 = 0 0 + 30n = -19 + -11 30n = -19 + -11 Combine like terms: -19 + -11 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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