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Simplifying 4(5n + 3) = 7n + -27 Reorder the terms: 4(3 + 5n) = 7n + -27 (3 * 4 + 5n * 4) = 7n + -27 (12 + 20n) = 7n + -27 Reorder the terms: 12 + 20n = -27 + 7n Solving 12 + 20n = -27 + 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. 12 + 20n + -7n = -27 + 7n + -7n Combine like terms: 20n + -7n = 13n 12 + 13n = -27 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + 13n = -27 + 0 12 + 13n = -27 Add '-12' to each side of the equation. 12 + -12 + 13n = -27 + -12 Combine like terms: 12 + -12 = 0 0 + 13n = -27 + -12 13n = -27 + -12 Combine like terms: -27 + -12 = -39 13n = -39 Divide each side by '13'. n = -3 Simplifying n = -3
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