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Simplifying 7(n + 8) = 8 + 8n Reorder the terms: 7(8 + n) = 8 + 8n (8 * 7 + n * 7) = 8 + 8n (56 + 7n) = 8 + 8n Solving 56 + 7n = 8 + 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. 56 + 7n + -8n = 8 + 8n + -8n Combine like terms: 7n + -8n = -1n 56 + -1n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 56 + -1n = 8 + 0 56 + -1n = 8 Add '-56' to each side of the equation. 56 + -56 + -1n = 8 + -56 Combine like terms: 56 + -56 = 0 0 + -1n = 8 + -56 -1n = 8 + -56 Combine like terms: 8 + -56 = -48 -1n = -48 Divide each side by '-1'. n = 48 Simplifying n = 48
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