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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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