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Simplifying 46 = 2(1 + -5n) + 8(8n + -8) 46 = (1 * 2 + -5n * 2) + 8(8n + -8) 46 = (2 + -10n) + 8(8n + -8) Reorder the terms: 46 = 2 + -10n + 8(-8 + 8n) 46 = 2 + -10n + (-8 * 8 + 8n * 8) 46 = 2 + -10n + (-64 + 64n) Reorder the terms: 46 = 2 + -64 + -10n + 64n Combine like terms: 2 + -64 = -62 46 = -62 + -10n + 64n Combine like terms: -10n + 64n = 54n 46 = -62 + 54n Solving 46 = -62 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 46 + -54n = -62 + 54n + -54n Combine like terms: 54n + -54n = 0 46 + -54n = -62 + 0 46 + -54n = -62 Add '-46' to each side of the equation. 46 + -46 + -54n = -62 + -46 Combine like terms: 46 + -46 = 0 0 + -54n = -62 + -46 -54n = -62 + -46 Combine like terms: -62 + -46 = -108 -54n = -108 Divide each side by '-54'. n = 2 Simplifying n = 2
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