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Simplifying 2[3 + -1(4n + 8)] + 10 = 6(2 + -1n) Reorder the terms: 2[3 + -1(8 + 4n)] + 10 = 6(2 + -1n) 2[3 + (8 * -1 + 4n * -1)] + 10 = 6(2 + -1n) 2[3 + (-8 + -4n)] + 10 = 6(2 + -1n) Combine like terms: 3 + -8 = -5 2[-5 + -4n] + 10 = 6(2 + -1n) [-5 * 2 + -4n * 2] + 10 = 6(2 + -1n) [-10 + -8n] + 10 = 6(2 + -1n) Reorder the terms: -10 + 10 + -8n = 6(2 + -1n) Combine like terms: -10 + 10 = 0 0 + -8n = 6(2 + -1n) -8n = 6(2 + -1n) -8n = (2 * 6 + -1n * 6) -8n = (12 + -6n) Solving -8n = 12 + -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. -8n + 6n = 12 + -6n + 6n Combine like terms: -8n + 6n = -2n -2n = 12 + -6n + 6n Combine like terms: -6n + 6n = 0 -2n = 12 + 0 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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