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Simplifying -10n + 3(8 + 8n) = -6(n + -4) * 4 -10n + (8 * 3 + 8n * 3) = -6(n + -4) * 4 -10n + (24 + 24n) = -6(n + -4) * 4 Reorder the terms: 24 + -10n + 24n = -6(n + -4) * 4 Combine like terms: -10n + 24n = 14n 24 + 14n = -6(n + -4) * 4 Reorder the terms: 24 + 14n = -6(-4 + n) * 4 Reorder the terms for easier multiplication: 24 + 14n = -6 * 4(-4 + n) Multiply -6 * 4 24 + 14n = -24(-4 + n) 24 + 14n = (-4 * -24 + n * -24) 24 + 14n = (96 + -24n) Solving 24 + 14n = 96 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 24 + 14n + 24n = 96 + -24n + 24n Combine like terms: 14n + 24n = 38n 24 + 38n = 96 + -24n + 24n Combine like terms: -24n + 24n = 0 24 + 38n = 96 + 0 24 + 38n = 96 Add '-24' to each side of the equation. 24 + -24 + 38n = 96 + -24 Combine like terms: 24 + -24 = 0 0 + 38n = 96 + -24 38n = 96 + -24 Combine like terms: 96 + -24 = 72 38n = 72 Divide each side by '38'. n = 1.894736842 Simplifying n = 1.894736842
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