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Simplifying 4(n + 6) + -1(n + -6) = 0 Reorder the terms: 4(6 + n) + -1(n + -6) = 0 (6 * 4 + n * 4) + -1(n + -6) = 0 (24 + 4n) + -1(n + -6) = 0 Reorder the terms: 24 + 4n + -1(-6 + n) = 0 24 + 4n + (-6 * -1 + n * -1) = 0 24 + 4n + (6 + -1n) = 0 Reorder the terms: 24 + 6 + 4n + -1n = 0 Combine like terms: 24 + 6 = 30 30 + 4n + -1n = 0 Combine like terms: 4n + -1n = 3n 30 + 3n = 0 Solving 30 + 3n = 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 + 3n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 3n = 0 + -30 3n = 0 + -30 Combine like terms: 0 + -30 = -30 3n = -30 Divide each side by '3'. n = -10 Simplifying n = -10
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