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Simplifying 2(n + 9) = 3n + -5 Reorder the terms: 2(9 + n) = 3n + -5 (9 * 2 + n * 2) = 3n + -5 (18 + 2n) = 3n + -5 Reorder the terms: 18 + 2n = -5 + 3n Solving 18 + 2n = -5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 18 + 2n + -3n = -5 + 3n + -3n Combine like terms: 2n + -3n = -1n 18 + -1n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + -1n = -5 + 0 18 + -1n = -5 Add '-18' to each side of the equation. 18 + -18 + -1n = -5 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = -5 + -18 -1n = -5 + -18 Combine like terms: -5 + -18 = -23 -1n = -23 Divide each side by '-1'. n = 23 Simplifying n = 23
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