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Simplifying 4(n + 5) = -21 + 3n Reorder the terms: 4(5 + n) = -21 + 3n (5 * 4 + n * 4) = -21 + 3n (20 + 4n) = -21 + 3n Solving 20 + 4n = -21 + 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 = -21 + 3n + -3n Combine like terms: 4n + -3n = 1n 20 + 1n = -21 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 1n = -21 + 0 20 + 1n = -21 Add '-20' to each side of the equation. 20 + -20 + 1n = -21 + -20 Combine like terms: 20 + -20 = 0 0 + 1n = -21 + -20 1n = -21 + -20 Combine like terms: -21 + -20 = -41 1n = -41 Divide each side by '1'. n = -41 Simplifying n = -41
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