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Simplifying 2(4n + 5n) + 15 = 2(5n + 7n) + -15 Combine like terms: 4n + 5n = 9n 2(9n) + 15 = 2(5n + 7n) + -15 Remove parenthesis around (9n) 2 * 9n + 15 = 2(5n + 7n) + -15 Multiply 2 * 9 18n + 15 = 2(5n + 7n) + -15 Reorder the terms: 15 + 18n = 2(5n + 7n) + -15 Combine like terms: 5n + 7n = 12n 15 + 18n = 2(12n) + -15 Remove parenthesis around (12n) 15 + 18n = 2 * 12n + -15 Multiply 2 * 12 15 + 18n = 24n + -15 Reorder the terms: 15 + 18n = -15 + 24n Solving 15 + 18n = -15 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 15 + 18n + -24n = -15 + 24n + -24n Combine like terms: 18n + -24n = -6n 15 + -6n = -15 + 24n + -24n Combine like terms: 24n + -24n = 0 15 + -6n = -15 + 0 15 + -6n = -15 Add '-15' to each side of the equation. 15 + -15 + -6n = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -6n = -15 + -15 -6n = -15 + -15 Combine like terms: -15 + -15 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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