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Simplifying 4(5 + 4n) + -6n = 3n + -1 (5 * 4 + 4n * 4) + -6n = 3n + -1 (20 + 16n) + -6n = 3n + -1 Combine like terms: 16n + -6n = 10n 20 + 10n = 3n + -1 Reorder the terms: 20 + 10n = -1 + 3n Solving 20 + 10n = -1 + 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 + 10n + -3n = -1 + 3n + -3n Combine like terms: 10n + -3n = 7n 20 + 7n = -1 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 7n = -1 + 0 20 + 7n = -1 Add '-20' to each side of the equation. 20 + -20 + 7n = -1 + -20 Combine like terms: 20 + -20 = 0 0 + 7n = -1 + -20 7n = -1 + -20 Combine like terms: -1 + -20 = -21 7n = -21 Divide each side by '7'. n = -3 Simplifying n = -3
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