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Simplifying 2(n + -8) = 2(10 + -5n) Reorder the terms: 2(-8 + n) = 2(10 + -5n) (-8 * 2 + n * 2) = 2(10 + -5n) (-16 + 2n) = 2(10 + -5n) -16 + 2n = (10 * 2 + -5n * 2) -16 + 2n = (20 + -10n) Solving -16 + 2n = 20 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -16 + 2n + 10n = 20 + -10n + 10n Combine like terms: 2n + 10n = 12n -16 + 12n = 20 + -10n + 10n Combine like terms: -10n + 10n = 0 -16 + 12n = 20 + 0 -16 + 12n = 20 Add '16' to each side of the equation. -16 + 16 + 12n = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 12n = 20 + 16 12n = 20 + 16 Combine like terms: 20 + 16 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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