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Simplifying -1(-6n + 6) + -4(1 + 5n) = 18 Reorder the terms: -1(6 + -6n) + -4(1 + 5n) = 18 (6 * -1 + -6n * -1) + -4(1 + 5n) = 18 (-6 + 6n) + -4(1 + 5n) = 18 -6 + 6n + (1 * -4 + 5n * -4) = 18 -6 + 6n + (-4 + -20n) = 18 Reorder the terms: -6 + -4 + 6n + -20n = 18 Combine like terms: -6 + -4 = -10 -10 + 6n + -20n = 18 Combine like terms: 6n + -20n = -14n -10 + -14n = 18 Solving -10 + -14n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -14n = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -14n = 18 + 10 -14n = 18 + 10 Combine like terms: 18 + 10 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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