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Simplifying 3(4n + 5) = 7n + -23 Reorder the terms: 3(5 + 4n) = 7n + -23 (5 * 3 + 4n * 3) = 7n + -23 (15 + 12n) = 7n + -23 Reorder the terms: 15 + 12n = -23 + 7n Solving 15 + 12n = -23 + 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. 15 + 12n + -7n = -23 + 7n + -7n Combine like terms: 12n + -7n = 5n 15 + 5n = -23 + 7n + -7n Combine like terms: 7n + -7n = 0 15 + 5n = -23 + 0 15 + 5n = -23 Add '-15' to each side of the equation. 15 + -15 + 5n = -23 + -15 Combine like terms: 15 + -15 = 0 0 + 5n = -23 + -15 5n = -23 + -15 Combine like terms: -23 + -15 = -38 5n = -38 Divide each side by '5'. n = -7.6 Simplifying n = -7.6
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