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Simplifying -10n + 3(p + 8n) = -6(n + -4) Reorder the terms: -10n + 3(8n + p) = -6(n + -4) -10n + (8n * 3 + p * 3) = -6(n + -4) -10n + (24n + 3p) = -6(n + -4) Combine like terms: -10n + 24n = 14n 14n + 3p = -6(n + -4) Reorder the terms: 14n + 3p = -6(-4 + n) 14n + 3p = (-4 * -6 + n * -6) 14n + 3p = (24 + -6n) Solving 14n + 3p = 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. 14n + 6n + 3p = 24 + -6n + 6n Combine like terms: 14n + 6n = 20n 20n + 3p = 24 + -6n + 6n Combine like terms: -6n + 6n = 0 20n + 3p = 24 + 0 20n + 3p = 24 Add '-3p' to each side of the equation. 20n + 3p + -3p = 24 + -3p Combine like terms: 3p + -3p = 0 20n + 0 = 24 + -3p 20n = 24 + -3p Divide each side by '20'. n = 1.2 + -0.15p Simplifying n = 1.2 + -0.15p
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