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Simplifying -1n + 23 = -2(1 + -4n) + -2 Reorder the terms: 23 + -1n = -2(1 + -4n) + -2 23 + -1n = (1 * -2 + -4n * -2) + -2 23 + -1n = (-2 + 8n) + -2 Reorder the terms: 23 + -1n = -2 + -2 + 8n Combine like terms: -2 + -2 = -4 23 + -1n = -4 + 8n Solving 23 + -1n = -4 + 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. 23 + -1n + -8n = -4 + 8n + -8n Combine like terms: -1n + -8n = -9n 23 + -9n = -4 + 8n + -8n Combine like terms: 8n + -8n = 0 23 + -9n = -4 + 0 23 + -9n = -4 Add '-23' to each side of the equation. 23 + -23 + -9n = -4 + -23 Combine like terms: 23 + -23 = 0 0 + -9n = -4 + -23 -9n = -4 + -23 Combine like terms: -4 + -23 = -27 -9n = -27 Divide each side by '-9'. n = 3 Simplifying n = 3
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