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Simplifying 27.25 + -1(0.1782 + 0.0594L) = 6 + 3L 27.25 + (0.1782 * -1 + 0.0594L * -1) = 6 + 3L 27.25 + (-0.1782 + -0.0594L) = 6 + 3L Combine like terms: 27.25 + -0.1782 = 27.0718 27.0718 + -0.0594L = 6 + 3L Solving 27.0718 + -0.0594L = 6 + 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. 27.0718 + -0.0594L + -3L = 6 + 3L + -3L Combine like terms: -0.0594L + -3L = -3.0594L 27.0718 + -3.0594L = 6 + 3L + -3L Combine like terms: 3L + -3L = 0 27.0718 + -3.0594L = 6 + 0 27.0718 + -3.0594L = 6 Add '-27.0718' to each side of the equation. 27.0718 + -27.0718 + -3.0594L = 6 + -27.0718 Combine like terms: 27.0718 + -27.0718 = 0.0000 0.0000 + -3.0594L = 6 + -27.0718 -3.0594L = 6 + -27.0718 Combine like terms: 6 + -27.0718 = -21.0718 -3.0594L = -21.0718 Divide each side by '-3.0594'. L = 6.887559652 Simplifying L = 6.887559652
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