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Simplifying 4(5n + 7) + -3n = -5(4 + -4n) Reorder the terms: 4(7 + 5n) + -3n = -5(4 + -4n) (7 * 4 + 5n * 4) + -3n = -5(4 + -4n) (28 + 20n) + -3n = -5(4 + -4n) Combine like terms: 20n + -3n = 17n 28 + 17n = -5(4 + -4n) 28 + 17n = (4 * -5 + -4n * -5) 28 + 17n = (-20 + 20n) Solving 28 + 17n = -20 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 28 + 17n + -20n = -20 + 20n + -20n Combine like terms: 17n + -20n = -3n 28 + -3n = -20 + 20n + -20n Combine like terms: 20n + -20n = 0 28 + -3n = -20 + 0 28 + -3n = -20 Add '-28' to each side of the equation. 28 + -28 + -3n = -20 + -28 Combine like terms: 28 + -28 = 0 0 + -3n = -20 + -28 -3n = -20 + -28 Combine like terms: -20 + -28 = -48 -3n = -48 Divide each side by '-3'. n = 16 Simplifying n = 16
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