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Simplifying 6(n + 5) = 5(n + -9) Reorder the terms: 6(5 + n) = 5(n + -9) (5 * 6 + n * 6) = 5(n + -9) (30 + 6n) = 5(n + -9) Reorder the terms: 30 + 6n = 5(-9 + n) 30 + 6n = (-9 * 5 + n * 5) 30 + 6n = (-45 + 5n) Solving 30 + 6n = -45 + 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. 30 + 6n + -5n = -45 + 5n + -5n Combine like terms: 6n + -5n = 1n 30 + 1n = -45 + 5n + -5n Combine like terms: 5n + -5n = 0 30 + 1n = -45 + 0 30 + 1n = -45 Add '-30' to each side of the equation. 30 + -30 + 1n = -45 + -30 Combine like terms: 30 + -30 = 0 0 + 1n = -45 + -30 1n = -45 + -30 Combine like terms: -45 + -30 = -75 1n = -75 Divide each side by '1'. n = -75 Simplifying n = -75
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