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Simplifying n + -35 = 1 + -5(8n + -1) Reorder the terms: -35 + n = 1 + -5(8n + -1) Reorder the terms: -35 + n = 1 + -5(-1 + 8n) -35 + n = 1 + (-1 * -5 + 8n * -5) -35 + n = 1 + (5 + -40n) Combine like terms: 1 + 5 = 6 -35 + n = 6 + -40n Solving -35 + n = 6 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -35 + n + 40n = 6 + -40n + 40n Combine like terms: n + 40n = 41n -35 + 41n = 6 + -40n + 40n Combine like terms: -40n + 40n = 0 -35 + 41n = 6 + 0 -35 + 41n = 6 Add '35' to each side of the equation. -35 + 35 + 41n = 6 + 35 Combine like terms: -35 + 35 = 0 0 + 41n = 6 + 35 41n = 6 + 35 Combine like terms: 6 + 35 = 41 41n = 41 Divide each side by '41'. n = 1 Simplifying n = 1
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