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Simplifying 5(3n + 7) + -3(2n + 3) = 53 Reorder the terms: 5(7 + 3n) + -3(2n + 3) = 53 (7 * 5 + 3n * 5) + -3(2n + 3) = 53 (35 + 15n) + -3(2n + 3) = 53 Reorder the terms: 35 + 15n + -3(3 + 2n) = 53 35 + 15n + (3 * -3 + 2n * -3) = 53 35 + 15n + (-9 + -6n) = 53 Reorder the terms: 35 + -9 + 15n + -6n = 53 Combine like terms: 35 + -9 = 26 26 + 15n + -6n = 53 Combine like terms: 15n + -6n = 9n 26 + 9n = 53 Solving 26 + 9n = 53 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9n = 53 + -26 Combine like terms: 26 + -26 = 0 0 + 9n = 53 + -26 9n = 53 + -26 Combine like terms: 53 + -26 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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