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Simplifying -1n + 4(1 + 7n) = -15 + 8n -1n + (1 * 4 + 7n * 4) = -15 + 8n -1n + (4 + 28n) = -15 + 8n Reorder the terms: 4 + -1n + 28n = -15 + 8n Combine like terms: -1n + 28n = 27n 4 + 27n = -15 + 8n Solving 4 + 27n = -15 + 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. 4 + 27n + -8n = -15 + 8n + -8n Combine like terms: 27n + -8n = 19n 4 + 19n = -15 + 8n + -8n Combine like terms: 8n + -8n = 0 4 + 19n = -15 + 0 4 + 19n = -15 Add '-4' to each side of the equation. 4 + -4 + 19n = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 19n = -15 + -4 19n = -15 + -4 Combine like terms: -15 + -4 = -19 19n = -19 Divide each side by '19'. n = -1 Simplifying n = -1
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