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Simplifying 289 = 1 + -8(5n + -6) Reorder the terms: 289 = 1 + -8(-6 + 5n) 289 = 1 + (-6 * -8 + 5n * -8) 289 = 1 + (48 + -40n) Combine like terms: 1 + 48 = 49 289 = 49 + -40n Solving 289 = 49 + -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. 289 + 40n = 49 + -40n + 40n Combine like terms: -40n + 40n = 0 289 + 40n = 49 + 0 289 + 40n = 49 Add '-289' to each side of the equation. 289 + -289 + 40n = 49 + -289 Combine like terms: 289 + -289 = 0 0 + 40n = 49 + -289 40n = 49 + -289 Combine like terms: 49 + -289 = -240 40n = -240 Divide each side by '40'. n = -6 Simplifying n = -6
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