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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) Add '-24' to each side of the equation. 24 + -24 + 34n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 0 + 34n = 24 + -24 + -6n 34n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 34n = 0 + -6n 34n = -6n Solving 34n = -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. 34n + 6n = -6n + 6n Combine like terms: 34n + 6n = 40n 40n = -6n + 6n Combine like terms: -6n + 6n = 0 40n = 0 Divide each side by '40'. n = 0.0 Simplifying n = 0.0
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