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Simplifying 5(1 + 6n) + -8(3n + 3) = -67 (1 * 5 + 6n * 5) + -8(3n + 3) = -67 (5 + 30n) + -8(3n + 3) = -67 Reorder the terms: 5 + 30n + -8(3 + 3n) = -67 5 + 30n + (3 * -8 + 3n * -8) = -67 5 + 30n + (-24 + -24n) = -67 Reorder the terms: 5 + -24 + 30n + -24n = -67 Combine like terms: 5 + -24 = -19 -19 + 30n + -24n = -67 Combine like terms: 30n + -24n = 6n -19 + 6n = -67 Solving -19 + 6n = -67 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 6n = -67 + 19 Combine like terms: -19 + 19 = 0 0 + 6n = -67 + 19 6n = -67 + 19 Combine like terms: -67 + 19 = -48 6n = -48 Divide each side by '6'. n = -8 Simplifying n = -8
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