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Simplifying 14n + -55 = 9(n + 85) Reorder the terms: -55 + 14n = 9(n + 85) Reorder the terms: -55 + 14n = 9(85 + n) -55 + 14n = (85 * 9 + n * 9) -55 + 14n = (765 + 9n) Solving -55 + 14n = 765 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -55 + 14n + -9n = 765 + 9n + -9n Combine like terms: 14n + -9n = 5n -55 + 5n = 765 + 9n + -9n Combine like terms: 9n + -9n = 0 -55 + 5n = 765 + 0 -55 + 5n = 765 Add '55' to each side of the equation. -55 + 55 + 5n = 765 + 55 Combine like terms: -55 + 55 = 0 0 + 5n = 765 + 55 5n = 765 + 55 Combine like terms: 765 + 55 = 820 5n = 820 Divide each side by '5'. n = 164 Simplifying n = 164
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