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Simplifying -6(1 + 5n) + -6(4n + 5) = 18 (1 * -6 + 5n * -6) + -6(4n + 5) = 18 (-6 + -30n) + -6(4n + 5) = 18 Reorder the terms: -6 + -30n + -6(5 + 4n) = 18 -6 + -30n + (5 * -6 + 4n * -6) = 18 -6 + -30n + (-30 + -24n) = 18 Reorder the terms: -6 + -30 + -30n + -24n = 18 Combine like terms: -6 + -30 = -36 -36 + -30n + -24n = 18 Combine like terms: -30n + -24n = -54n -36 + -54n = 18 Solving -36 + -54n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -54n = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -54n = 18 + 36 -54n = 18 + 36 Combine like terms: 18 + 36 = 54 -54n = 54 Divide each side by '-54'. n = -1 Simplifying n = -1
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