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Simplifying -10 + 3(8 + 8n) = 6(n + -4) -10 + (8 * 3 + 8n * 3) = 6(n + -4) -10 + (24 + 24n) = 6(n + -4) Combine like terms: -10 + 24 = 14 14 + 24n = 6(n + -4) Reorder the terms: 14 + 24n = 6(-4 + n) 14 + 24n = (-4 * 6 + n * 6) 14 + 24n = (-24 + 6n) Solving 14 + 24n = -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. 14 + 24n + -6n = -24 + 6n + -6n Combine like terms: 24n + -6n = 18n 14 + 18n = -24 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + 18n = -24 + 0 14 + 18n = -24 Add '-14' to each side of the equation. 14 + -14 + 18n = -24 + -14 Combine like terms: 14 + -14 = 0 0 + 18n = -24 + -14 18n = -24 + -14 Combine like terms: -24 + -14 = -38 18n = -38 Divide each side by '18'. n = -2.111111111 Simplifying n = -2.111111111
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