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Simplifying 10(n + 4) = 9(n + 6) Reorder the terms: 10(4 + n) = 9(n + 6) (4 * 10 + n * 10) = 9(n + 6) (40 + 10n) = 9(n + 6) Reorder the terms: 40 + 10n = 9(6 + n) 40 + 10n = (6 * 9 + n * 9) 40 + 10n = (54 + 9n) Solving 40 + 10n = 54 + 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. 40 + 10n + -9n = 54 + 9n + -9n Combine like terms: 10n + -9n = 1n 40 + 1n = 54 + 9n + -9n Combine like terms: 9n + -9n = 0 40 + 1n = 54 + 0 40 + 1n = 54 Add '-40' to each side of the equation. 40 + -40 + 1n = 54 + -40 Combine like terms: 40 + -40 = 0 0 + 1n = 54 + -40 1n = 54 + -40 Combine like terms: 54 + -40 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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