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Simplifying 7(n + 8) = 26 + -8n Reorder the terms: 7(8 + n) = 26 + -8n (8 * 7 + n * 7) = 26 + -8n (56 + 7n) = 26 + -8n Solving 56 + 7n = 26 + -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 = 26 + -8n + 8n Combine like terms: 7n + 8n = 15n 56 + 15n = 26 + -8n + 8n Combine like terms: -8n + 8n = 0 56 + 15n = 26 + 0 56 + 15n = 26 Add '-56' to each side of the equation. 56 + -56 + 15n = 26 + -56 Combine like terms: 56 + -56 = 0 0 + 15n = 26 + -56 15n = 26 + -56 Combine like terms: 26 + -56 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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