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Simplifying 4n + -9 = 3(2n + 5) Reorder the terms: -9 + 4n = 3(2n + 5) Reorder the terms: -9 + 4n = 3(5 + 2n) -9 + 4n = (5 * 3 + 2n * 3) -9 + 4n = (15 + 6n) Solving -9 + 4n = 15 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -9 + 4n + -6n = 15 + 6n + -6n Combine like terms: 4n + -6n = -2n -9 + -2n = 15 + 6n + -6n Combine like terms: 6n + -6n = 0 -9 + -2n = 15 + 0 -9 + -2n = 15 Add '9' to each side of the equation. -9 + 9 + -2n = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -2n = 15 + 9 -2n = 15 + 9 Combine like terms: 15 + 9 = 24 -2n = 24 Divide each side by '-2'. n = -12 Simplifying n = -12
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