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Simplifying -6(n + 3) + -12n = -2(10n + -8) Reorder the terms: -6(3 + n) + -12n = -2(10n + -8) (3 * -6 + n * -6) + -12n = -2(10n + -8) (-18 + -6n) + -12n = -2(10n + -8) Combine like terms: -6n + -12n = -18n -18 + -18n = -2(10n + -8) Reorder the terms: -18 + -18n = -2(-8 + 10n) -18 + -18n = (-8 * -2 + 10n * -2) -18 + -18n = (16 + -20n) Solving -18 + -18n = 16 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -18 + -18n + 20n = 16 + -20n + 20n Combine like terms: -18n + 20n = 2n -18 + 2n = 16 + -20n + 20n Combine like terms: -20n + 20n = 0 -18 + 2n = 16 + 0 -18 + 2n = 16 Add '18' to each side of the equation. -18 + 18 + 2n = 16 + 18 Combine like terms: -18 + 18 = 0 0 + 2n = 16 + 18 2n = 16 + 18 Combine like terms: 16 + 18 = 34 2n = 34 Divide each side by '2'. n = 17 Simplifying n = 17
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