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Simplifying 9(n + -1) + 2 = 8n + -6 Reorder the terms: 9(-1 + n) + 2 = 8n + -6 (-1 * 9 + n * 9) + 2 = 8n + -6 (-9 + 9n) + 2 = 8n + -6 Reorder the terms: -9 + 2 + 9n = 8n + -6 Combine like terms: -9 + 2 = -7 -7 + 9n = 8n + -6 Reorder the terms: -7 + 9n = -6 + 8n Solving -7 + 9n = -6 + 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 + 9n + -8n = -6 + 8n + -8n Combine like terms: 9n + -8n = 1n -7 + 1n = -6 + 8n + -8n Combine like terms: 8n + -8n = 0 -7 + 1n = -6 + 0 -7 + 1n = -6 Add '7' to each side of the equation. -7 + 7 + 1n = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 1n = -6 + 7 1n = -6 + 7 Combine like terms: -6 + 7 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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