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Simplifying 36 = (5n + -9) + (2n + 3) Reorder the terms: 36 = (-9 + 5n) + (2n + 3) Remove parenthesis around (-9 + 5n) 36 = -9 + 5n + (2n + 3) Reorder the terms: 36 = -9 + 5n + (3 + 2n) Remove parenthesis around (3 + 2n) 36 = -9 + 5n + 3 + 2n Reorder the terms: 36 = -9 + 3 + 5n + 2n Combine like terms: -9 + 3 = -6 36 = -6 + 5n + 2n Combine like terms: 5n + 2n = 7n 36 = -6 + 7n Solving 36 = -6 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 36 + -7n = -6 + 7n + -7n Combine like terms: 7n + -7n = 0 36 + -7n = -6 + 0 36 + -7n = -6 Add '-36' to each side of the equation. 36 + -36 + -7n = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -7n = -6 + -36 -7n = -6 + -36 Combine like terms: -6 + -36 = -42 -7n = -42 Divide each side by '-7'. n = 6 Simplifying n = 6
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