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Simplifying 9(n + 2) = 4 + 10n Reorder the terms: 9(2 + n) = 4 + 10n (2 * 9 + n * 9) = 4 + 10n (18 + 9n) = 4 + 10n Solving 18 + 9n = 4 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 18 + 9n + -10n = 4 + 10n + -10n Combine like terms: 9n + -10n = -1n 18 + -1n = 4 + 10n + -10n Combine like terms: 10n + -10n = 0 18 + -1n = 4 + 0 18 + -1n = 4 Add '-18' to each side of the equation. 18 + -18 + -1n = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 4 + -18 -1n = 4 + -18 Combine like terms: 4 + -18 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14
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