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Simplifying 5(4n + -4) = 1 + 3n Reorder the terms: 5(-4 + 4n) = 1 + 3n (-4 * 5 + 4n * 5) = 1 + 3n (-20 + 20n) = 1 + 3n Solving -20 + 20n = 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 + 20n + -3n = 1 + 3n + -3n Combine like terms: 20n + -3n = 17n -20 + 17n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 -20 + 17n = 1 + 0 -20 + 17n = 1 Add '20' to each side of the equation. -20 + 20 + 17n = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 17n = 1 + 20 17n = 1 + 20 Combine like terms: 1 + 20 = 21 17n = 21 Divide each side by '17'. n = 1.235294118 Simplifying n = 1.235294118
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