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Simplifying 1 + lny = 0.9(2 + lny) 1 + lny = (2 * 0.9 + lny * 0.9) 1 + lny = (1.8 + 0.9lny) Solving 1 + lny = 1.8 + 0.9lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-0.9lny' to each side of the equation. 1 + lny + -0.9lny = 1.8 + 0.9lny + -0.9lny Combine like terms: lny + -0.9lny = 0.1lny 1 + 0.1lny = 1.8 + 0.9lny + -0.9lny Combine like terms: 0.9lny + -0.9lny = 0.0 1 + 0.1lny = 1.8 + 0.0 1 + 0.1lny = 1.8 Add '-1' to each side of the equation. 1 + -1 + 0.1lny = 1.8 + -1 Combine like terms: 1 + -1 = 0 0 + 0.1lny = 1.8 + -1 0.1lny = 1.8 + -1 Combine like terms: 1.8 + -1 = 0.8 0.1lny = 0.8 Divide each side by '0.1ny'. l = 8n-1y-1 Simplifying l = 8n-1y-1
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