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Simplifying -1(2 + 8n) = 4(3 + -4n) + 7n (2 * -1 + 8n * -1) = 4(3 + -4n) + 7n (-2 + -8n) = 4(3 + -4n) + 7n -2 + -8n = (3 * 4 + -4n * 4) + 7n -2 + -8n = (12 + -16n) + 7n Combine like terms: -16n + 7n = -9n -2 + -8n = 12 + -9n Solving -2 + -8n = 12 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -2 + -8n + 9n = 12 + -9n + 9n Combine like terms: -8n + 9n = 1n -2 + 1n = 12 + -9n + 9n Combine like terms: -9n + 9n = 0 -2 + 1n = 12 + 0 -2 + 1n = 12 Add '2' to each side of the equation. -2 + 2 + 1n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = 12 + 2 1n = 12 + 2 Combine like terms: 12 + 2 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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