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Simplifying 2n + -2(4n + 5) = 6(n + -3) + -8 Reorder the terms: 2n + -2(5 + 4n) = 6(n + -3) + -8 2n + (5 * -2 + 4n * -2) = 6(n + -3) + -8 2n + (-10 + -8n) = 6(n + -3) + -8 Reorder the terms: -10 + 2n + -8n = 6(n + -3) + -8 Combine like terms: 2n + -8n = -6n -10 + -6n = 6(n + -3) + -8 Reorder the terms: -10 + -6n = 6(-3 + n) + -8 -10 + -6n = (-3 * 6 + n * 6) + -8 -10 + -6n = (-18 + 6n) + -8 Reorder the terms: -10 + -6n = -18 + -8 + 6n Combine like terms: -18 + -8 = -26 -10 + -6n = -26 + 6n Solving -10 + -6n = -26 + 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. -10 + -6n + -6n = -26 + 6n + -6n Combine like terms: -6n + -6n = -12n -10 + -12n = -26 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + -12n = -26 + 0 -10 + -12n = -26 Add '10' to each side of the equation. -10 + 10 + -12n = -26 + 10 Combine like terms: -10 + 10 = 0 0 + -12n = -26 + 10 -12n = -26 + 10 Combine like terms: -26 + 10 = -16 -12n = -16 Divide each side by '-12'. n = 1.333333333 Simplifying n = 1.333333333
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