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Simplifying 4(5n + 7) + -3n = (4n + -9) Reorder the terms: 4(7 + 5n) + -3n = (4n + -9) (7 * 4 + 5n * 4) + -3n = (4n + -9) (28 + 20n) + -3n = (4n + -9) Combine like terms: 20n + -3n = 17n 28 + 17n = (4n + -9) Reorder the terms: 28 + 17n = (-9 + 4n) Remove parenthesis around (-9 + 4n) 28 + 17n = -9 + 4n Solving 28 + 17n = -9 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 28 + 17n + -4n = -9 + 4n + -4n Combine like terms: 17n + -4n = 13n 28 + 13n = -9 + 4n + -4n Combine like terms: 4n + -4n = 0 28 + 13n = -9 + 0 28 + 13n = -9 Add '-28' to each side of the equation. 28 + -28 + 13n = -9 + -28 Combine like terms: 28 + -28 = 0 0 + 13n = -9 + -28 13n = -9 + -28 Combine like terms: -9 + -28 = -37 13n = -37 Divide each side by '13'. n = -2.846153846 Simplifying n = -2.846153846
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