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Simplifying 5(1 + -2n) + 8w = 15 (1 * 5 + -2n * 5) + 8w = 15 (5 + -10n) + 8w = 15 Solving 5 + -10n + 8w = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -10n + -5 + 8w = 15 + -5 Reorder the terms: 5 + -5 + -10n + 8w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -10n + 8w = 15 + -5 -10n + 8w = 15 + -5 Combine like terms: 15 + -5 = 10 -10n + 8w = 10 Add '-8w' to each side of the equation. -10n + 8w + -8w = 10 + -8w Combine like terms: 8w + -8w = 0 -10n + 0 = 10 + -8w -10n = 10 + -8w Divide each side by '-10'. n = -1 + 0.8w Simplifying n = -1 + 0.8w
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