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Simplifying -10n + 3(8 + 8n) = -6(6n + -4) -10n + (8 * 3 + 8n * 3) = -6(6n + -4) -10n + (24 + 24n) = -6(6n + -4) Reorder the terms: 24 + -10n + 24n = -6(6n + -4) Combine like terms: -10n + 24n = 14n 24 + 14n = -6(6n + -4) Reorder the terms: 24 + 14n = -6(-4 + 6n) 24 + 14n = (-4 * -6 + 6n * -6) 24 + 14n = (24 + -36n) Add '-24' to each side of the equation. 24 + -24 + 14n = 24 + -24 + -36n Combine like terms: 24 + -24 = 0 0 + 14n = 24 + -24 + -36n 14n = 24 + -24 + -36n Combine like terms: 24 + -24 = 0 14n = 0 + -36n 14n = -36n Solving 14n = -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. 14n + 36n = -36n + 36n Combine like terms: 14n + 36n = 50n 50n = -36n + 36n Combine like terms: -36n + 36n = 0 50n = 0 Divide each side by '50'. n = 0.0 Simplifying n = 0.0
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