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Simplifying -9n + 3 = 3(8n + 45) Reorder the terms: 3 + -9n = 3(8n + 45) Reorder the terms: 3 + -9n = 3(45 + 8n) 3 + -9n = (45 * 3 + 8n * 3) 3 + -9n = (135 + 24n) Solving 3 + -9n = 135 + 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. 3 + -9n + -24n = 135 + 24n + -24n Combine like terms: -9n + -24n = -33n 3 + -33n = 135 + 24n + -24n Combine like terms: 24n + -24n = 0 3 + -33n = 135 + 0 3 + -33n = 135 Add '-3' to each side of the equation. 3 + -3 + -33n = 135 + -3 Combine like terms: 3 + -3 = 0 0 + -33n = 135 + -3 -33n = 135 + -3 Combine like terms: 135 + -3 = 132 -33n = 132 Divide each side by '-33'. n = -4 Simplifying n = -4
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