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Simplifying -6(n + -5) + 4(n + 1) = 0 Reorder the terms: -6(-5 + n) + 4(n + 1) = 0 (-5 * -6 + n * -6) + 4(n + 1) = 0 (30 + -6n) + 4(n + 1) = 0 Reorder the terms: 30 + -6n + 4(1 + n) = 0 30 + -6n + (1 * 4 + n * 4) = 0 30 + -6n + (4 + 4n) = 0 Reorder the terms: 30 + 4 + -6n + 4n = 0 Combine like terms: 30 + 4 = 34 34 + -6n + 4n = 0 Combine like terms: -6n + 4n = -2n 34 + -2n = 0 Solving 34 + -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -2n = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -2n = 0 + -34 -2n = 0 + -34 Combine like terms: 0 + -34 = -34 -2n = -34 Divide each side by '-2'. n = 17 Simplifying n = 17
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