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Simplifying -9(40n + 287) = -18(14 + -39n) + 8n Reorder the terms: -9(287 + 40n) = -18(14 + -39n) + 8n (287 * -9 + 40n * -9) = -18(14 + -39n) + 8n (-2583 + -360n) = -18(14 + -39n) + 8n -2583 + -360n = (14 * -18 + -39n * -18) + 8n -2583 + -360n = (-252 + 702n) + 8n Combine like terms: 702n + 8n = 710n -2583 + -360n = -252 + 710n Solving -2583 + -360n = -252 + 710n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-710n' to each side of the equation. -2583 + -360n + -710n = -252 + 710n + -710n Combine like terms: -360n + -710n = -1070n -2583 + -1070n = -252 + 710n + -710n Combine like terms: 710n + -710n = 0 -2583 + -1070n = -252 + 0 -2583 + -1070n = -252 Add '2583' to each side of the equation. -2583 + 2583 + -1070n = -252 + 2583 Combine like terms: -2583 + 2583 = 0 0 + -1070n = -252 + 2583 -1070n = -252 + 2583 Combine like terms: -252 + 2583 = 2331 -1070n = 2331 Divide each side by '-1070'. n = -2.178504673 Simplifying n = -2.178504673
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