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Simplifying 3(n + -3) + -1(3 + -6n) = 8n Reorder the terms: 3(-3 + n) + -1(3 + -6n) = 8n (-3 * 3 + n * 3) + -1(3 + -6n) = 8n (-9 + 3n) + -1(3 + -6n) = 8n -9 + 3n + (3 * -1 + -6n * -1) = 8n -9 + 3n + (-3 + 6n) = 8n Reorder the terms: -9 + -3 + 3n + 6n = 8n Combine like terms: -9 + -3 = -12 -12 + 3n + 6n = 8n Combine like terms: 3n + 6n = 9n -12 + 9n = 8n Solving -12 + 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. -12 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -12 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 1n = 0 Add '12' to each side of the equation. -12 + 12 + 1n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 0 + 12 1n = 0 + 12 Combine like terms: 0 + 12 = 12 1n = 12 Divide each side by '1'. n = 12 Simplifying n = 12
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