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Simplifying 7(n + -1) = 7 + 8n Reorder the terms: 7(-1 + n) = 7 + 8n (-1 * 7 + n * 7) = 7 + 8n (-7 + 7n) = 7 + 8n Solving -7 + 7n = 7 + 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. -7 + 7n + -8n = 7 + 8n + -8n Combine like terms: 7n + -8n = -1n -7 + -1n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -7 + -1n = 7 + 0 -7 + -1n = 7 Add '7' to each side of the equation. -7 + 7 + -1n = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 7 + 7 -1n = 7 + 7 Combine like terms: 7 + 7 = 14 -1n = 14 Divide each side by '-1'. n = -14 Simplifying n = -14
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