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Simplifying -5(-8n + 3) + 2(n + 7) = 41 Reorder the terms: -5(3 + -8n) + 2(n + 7) = 41 (3 * -5 + -8n * -5) + 2(n + 7) = 41 (-15 + 40n) + 2(n + 7) = 41 Reorder the terms: -15 + 40n + 2(7 + n) = 41 -15 + 40n + (7 * 2 + n * 2) = 41 -15 + 40n + (14 + 2n) = 41 Reorder the terms: -15 + 14 + 40n + 2n = 41 Combine like terms: -15 + 14 = -1 -1 + 40n + 2n = 41 Combine like terms: 40n + 2n = 42n -1 + 42n = 41 Solving -1 + 42n = 41 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 42n = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 42n = 41 + 1 42n = 41 + 1 Combine like terms: 41 + 1 = 42 42n = 42 Divide each side by '42'. n = 1 Simplifying n = 1
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