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Simplifying -6n + -8(1 + 3n) = 52 -6n + (1 * -8 + 3n * -8) = 52 -6n + (-8 + -24n) = 52 Reorder the terms: -8 + -6n + -24n = 52 Combine like terms: -6n + -24n = -30n -8 + -30n = 52 Solving -8 + -30n = 52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -30n = 52 + 8 Combine like terms: -8 + 8 = 0 0 + -30n = 52 + 8 -30n = 52 + 8 Combine like terms: 52 + 8 = 60 -30n = 60 Divide each side by '-30'. n = -2 Simplifying n = -2
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