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Simplifying -13(13 + 6n) + -25(n + 24) = -254 (13 * -13 + 6n * -13) + -25(n + 24) = -254 (-169 + -78n) + -25(n + 24) = -254 Reorder the terms: -169 + -78n + -25(24 + n) = -254 -169 + -78n + (24 * -25 + n * -25) = -254 -169 + -78n + (-600 + -25n) = -254 Reorder the terms: -169 + -600 + -78n + -25n = -254 Combine like terms: -169 + -600 = -769 -769 + -78n + -25n = -254 Combine like terms: -78n + -25n = -103n -769 + -103n = -254 Solving -769 + -103n = -254 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '769' to each side of the equation. -769 + 769 + -103n = -254 + 769 Combine like terms: -769 + 769 = 0 0 + -103n = -254 + 769 -103n = -254 + 769 Combine like terms: -254 + 769 = 515 -103n = 515 Divide each side by '-103'. n = -5 Simplifying n = -5
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