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Simplifying 6(3 + n) + -5(8 + -1n) = 0 (3 * 6 + n * 6) + -5(8 + -1n) = 0 (18 + 6n) + -5(8 + -1n) = 0 18 + 6n + (8 * -5 + -1n * -5) = 0 18 + 6n + (-40 + 5n) = 0 Reorder the terms: 18 + -40 + 6n + 5n = 0 Combine like terms: 18 + -40 = -22 -22 + 6n + 5n = 0 Combine like terms: 6n + 5n = 11n -22 + 11n = 0 Solving -22 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11n = 0 + 22 11n = 0 + 22 Combine like terms: 0 + 22 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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