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Simplifying -3(6n + 6) + -2n = 10 + -6n Reorder the terms: -3(6 + 6n) + -2n = 10 + -6n (6 * -3 + 6n * -3) + -2n = 10 + -6n (-18 + -18n) + -2n = 10 + -6n Combine like terms: -18n + -2n = -20n -18 + -20n = 10 + -6n Solving -18 + -20n = 10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -18 + -20n + 6n = 10 + -6n + 6n Combine like terms: -20n + 6n = -14n -18 + -14n = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 -18 + -14n = 10 + 0 -18 + -14n = 10 Add '18' to each side of the equation. -18 + 18 + -14n = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -14n = 10 + 18 -14n = 10 + 18 Combine like terms: 10 + 18 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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