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Simplifying 5(8n + 7) = 2n + 35 Reorder the terms: 5(7 + 8n) = 2n + 35 (7 * 5 + 8n * 5) = 2n + 35 (35 + 40n) = 2n + 35 Reorder the terms: 35 + 40n = 35 + 2n Add '-35' to each side of the equation. 35 + -35 + 40n = 35 + -35 + 2n Combine like terms: 35 + -35 = 0 0 + 40n = 35 + -35 + 2n 40n = 35 + -35 + 2n Combine like terms: 35 + -35 = 0 40n = 0 + 2n 40n = 2n Solving 40n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 40n + -2n = 2n + -2n Combine like terms: 40n + -2n = 38n 38n = 2n + -2n Combine like terms: 2n + -2n = 0 38n = 0 Divide each side by '38'. n = 0 Simplifying n = 0
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