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Simplifying -2(1 + -8n) = 28 + 6n (1 * -2 + -8n * -2) = 28 + 6n (-2 + 16n) = 28 + 6n Solving -2 + 16n = 28 + 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. -2 + 16n + -6n = 28 + 6n + -6n Combine like terms: 16n + -6n = 10n -2 + 10n = 28 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + 10n = 28 + 0 -2 + 10n = 28 Add '2' to each side of the equation. -2 + 2 + 10n = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 10n = 28 + 2 10n = 28 + 2 Combine like terms: 28 + 2 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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