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Simplifying 4(5n + 7) + -3n = 3(4 + -9) Reorder the terms: 4(7 + 5n) + -3n = 3(4 + -9) (7 * 4 + 5n * 4) + -3n = 3(4 + -9) (28 + 20n) + -3n = 3(4 + -9) Combine like terms: 20n + -3n = 17n 28 + 17n = 3(4 + -9) Combine like terms: 4 + -9 = -5 28 + 17n = 3(-5) Multiply 3 * -5 28 + 17n = -15 Solving 28 + 17n = -15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 17n = -15 + -28 Combine like terms: 28 + -28 = 0 0 + 17n = -15 + -28 17n = -15 + -28 Combine like terms: -15 + -28 = -43 17n = -43 Divide each side by '17'. n = -2.529411765 Simplifying n = -2.529411765
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