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Simplifying 4(n + 5) = 3n + 27 Reorder the terms: 4(5 + n) = 3n + 27 (5 * 4 + n * 4) = 3n + 27 (20 + 4n) = 3n + 27 Reorder the terms: 20 + 4n = 27 + 3n Solving 20 + 4n = 27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 20 + 4n + -3n = 27 + 3n + -3n Combine like terms: 4n + -3n = 1n 20 + 1n = 27 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 1n = 27 + 0 20 + 1n = 27 Add '-20' to each side of the equation. 20 + -20 + 1n = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 1n = 27 + -20 1n = 27 + -20 Combine like terms: 27 + -20 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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