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Simplifying 23.45 + -1(0.1782 + 0.0891L) = 3 + 3L 23.45 + (0.1782 * -1 + 0.0891L * -1) = 3 + 3L 23.45 + (-0.1782 + -0.0891L) = 3 + 3L Combine like terms: 23.45 + -0.1782 = 23.2718 23.2718 + -0.0891L = 3 + 3L Solving 23.2718 + -0.0891L = 3 + 3L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-3L' to each side of the equation. 23.2718 + -0.0891L + -3L = 3 + 3L + -3L Combine like terms: -0.0891L + -3L = -3.0891L 23.2718 + -3.0891L = 3 + 3L + -3L Combine like terms: 3L + -3L = 0 23.2718 + -3.0891L = 3 + 0 23.2718 + -3.0891L = 3 Add '-23.2718' to each side of the equation. 23.2718 + -23.2718 + -3.0891L = 3 + -23.2718 Combine like terms: 23.2718 + -23.2718 = 0.0000 0.0000 + -3.0891L = 3 + -23.2718 -3.0891L = 3 + -23.2718 Combine like terms: 3 + -23.2718 = -20.2718 -3.0891L = -20.2718 Divide each side by '-3.0891'. L = 6.562364443 Simplifying L = 6.562364443
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