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Simplifying 10n + 3(8 + 8n) = -6n + -4 10n + (8 * 3 + 8n * 3) = -6n + -4 10n + (24 + 24n) = -6n + -4 Reorder the terms: 24 + 10n + 24n = -6n + -4 Combine like terms: 10n + 24n = 34n 24 + 34n = -6n + -4 Reorder the terms: 24 + 34n = -4 + -6n Solving 24 + 34n = -4 + -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 = -4 + -6n + 6n Combine like terms: 34n + 6n = 40n 24 + 40n = -4 + -6n + 6n Combine like terms: -6n + 6n = 0 24 + 40n = -4 + 0 24 + 40n = -4 Add '-24' to each side of the equation. 24 + -24 + 40n = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 40n = -4 + -24 40n = -4 + -24 Combine like terms: -4 + -24 = -28 40n = -28 Divide each side by '40'. n = -0.7 Simplifying n = -0.7
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