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Simplifying 4(n + 9) + -3(2 + n) = 0 Reorder the terms: 4(9 + n) + -3(2 + n) = 0 (9 * 4 + n * 4) + -3(2 + n) = 0 (36 + 4n) + -3(2 + n) = 0 36 + 4n + (2 * -3 + n * -3) = 0 36 + 4n + (-6 + -3n) = 0 Reorder the terms: 36 + -6 + 4n + -3n = 0 Combine like terms: 36 + -6 = 30 30 + 4n + -3n = 0 Combine like terms: 4n + -3n = 1n 30 + 1n = 0 Solving 30 + 1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1n = 0 + -30 1n = 0 + -30 Combine like terms: 0 + -30 = -30 1n = -30 Divide each side by '1'. n = -30 Simplifying n = -30
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