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Simplifying 8(n + 7) = -2(2n + 8) + 4n Reorder the terms: 8(7 + n) = -2(2n + 8) + 4n (7 * 8 + n * 8) = -2(2n + 8) + 4n (56 + 8n) = -2(2n + 8) + 4n Reorder the terms: 56 + 8n = -2(8 + 2n) + 4n 56 + 8n = (8 * -2 + 2n * -2) + 4n 56 + 8n = (-16 + -4n) + 4n Combine like terms: -4n + 4n = 0 56 + 8n = -16 + 0 56 + 8n = -16 Solving 56 + 8n = -16 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 8n = -16 + -56 Combine like terms: 56 + -56 = 0 0 + 8n = -16 + -56 8n = -16 + -56 Combine like terms: -16 + -56 = -72 8n = -72 Divide each side by '8'. n = -9 Simplifying n = -9
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