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Simplifying 3(n + -2) + -1(4 + -6n) = 8n Reorder the terms: 3(-2 + n) + -1(4 + -6n) = 8n (-2 * 3 + n * 3) + -1(4 + -6n) = 8n (-6 + 3n) + -1(4 + -6n) = 8n -6 + 3n + (4 * -1 + -6n * -1) = 8n -6 + 3n + (-4 + 6n) = 8n Reorder the terms: -6 + -4 + 3n + 6n = 8n Combine like terms: -6 + -4 = -10 -10 + 3n + 6n = 8n Combine like terms: 3n + 6n = 9n -10 + 9n = 8n Solving -10 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -10 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -10 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -10 + 1n = 0 Add '10' to each side of the equation. -10 + 10 + 1n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1n = 0 + 10 1n = 0 + 10 Combine like terms: 0 + 10 = 10 1n = 10 Divide each side by '1'. n = 10 Simplifying n = 10
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