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Simplifying 10n + 3(8 + 8n) = 6(n + -4) 10n + (8 * 3 + 8n * 3) = 6(n + -4) 10n + (24 + 24n) = 6(n + -4) Reorder the terms: 24 + 10n + 24n = 6(n + -4) Combine like terms: 10n + 24n = 34n 24 + 34n = 6(n + -4) Reorder the terms: 24 + 34n = 6(-4 + n) 24 + 34n = (-4 * 6 + n * 6) 24 + 34n = (-24 + 6n) Solving 24 + 34n = -24 + 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. 24 + 34n + -6n = -24 + 6n + -6n Combine like terms: 34n + -6n = 28n 24 + 28n = -24 + 6n + -6n Combine like terms: 6n + -6n = 0 24 + 28n = -24 + 0 24 + 28n = -24 Add '-24' to each side of the equation. 24 + -24 + 28n = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 28n = -24 + -24 28n = -24 + -24 Combine like terms: -24 + -24 = -48 28n = -48 Divide each side by '28'. n = -1.714285714 Simplifying n = -1.714285714
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