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Simplifying -6(n + -5) + 3(n + 1) = 0 Reorder the terms: -6(-5 + n) + 3(n + 1) = 0 (-5 * -6 + n * -6) + 3(n + 1) = 0 (30 + -6n) + 3(n + 1) = 0 Reorder the terms: 30 + -6n + 3(1 + n) = 0 30 + -6n + (1 * 3 + n * 3) = 0 30 + -6n + (3 + 3n) = 0 Reorder the terms: 30 + 3 + -6n + 3n = 0 Combine like terms: 30 + 3 = 33 33 + -6n + 3n = 0 Combine like terms: -6n + 3n = -3n 33 + -3n = 0 Solving 33 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -3n = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -3n = 0 + -33 -3n = 0 + -33 Combine like terms: 0 + -33 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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