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Simplifying 6n + -6(5 + -1n) = 36 + n 6n + (5 * -6 + -1n * -6) = 36 + n 6n + (-30 + 6n) = 36 + n Reorder the terms: -30 + 6n + 6n = 36 + n Combine like terms: 6n + 6n = 12n -30 + 12n = 36 + n Solving -30 + 12n = 36 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -30 + 12n + -1n = 36 + n + -1n Combine like terms: 12n + -1n = 11n -30 + 11n = 36 + n + -1n Combine like terms: n + -1n = 0 -30 + 11n = 36 + 0 -30 + 11n = 36 Add '30' to each side of the equation. -30 + 30 + 11n = 36 + 30 Combine like terms: -30 + 30 = 0 0 + 11n = 36 + 30 11n = 36 + 30 Combine like terms: 36 + 30 = 66 11n = 66 Divide each side by '11'. n = 6 Simplifying n = 6
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