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Simplifying -2 + -6(n + -5) = -5(n + -4) Reorder the terms: -2 + -6(-5 + n) = -5(n + -4) -2 + (-5 * -6 + n * -6) = -5(n + -4) -2 + (30 + -6n) = -5(n + -4) Combine like terms: -2 + 30 = 28 28 + -6n = -5(n + -4) Reorder the terms: 28 + -6n = -5(-4 + n) 28 + -6n = (-4 * -5 + n * -5) 28 + -6n = (20 + -5n) Solving 28 + -6n = 20 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 28 + -6n + 5n = 20 + -5n + 5n Combine like terms: -6n + 5n = -1n 28 + -1n = 20 + -5n + 5n Combine like terms: -5n + 5n = 0 28 + -1n = 20 + 0 28 + -1n = 20 Add '-28' to each side of the equation. 28 + -28 + -1n = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -1n = 20 + -28 -1n = 20 + -28 Combine like terms: 20 + -28 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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