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Simplifying -1(0.79l + 0.227) = -1(2.09l + 0.838) Reorder the terms: -1(0.227 + 0.79l) = -1(2.09l + 0.838) (0.227 * -1 + 0.79l * -1) = -1(2.09l + 0.838) (-0.227 + -0.79l) = -1(2.09l + 0.838) Reorder the terms: -0.227 + -0.79l = -1(0.838 + 2.09l) -0.227 + -0.79l = (0.838 * -1 + 2.09l * -1) -0.227 + -0.79l = (-0.838 + -2.09l) Solving -0.227 + -0.79l = -0.838 + -2.09l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2.09l' to each side of the equation. -0.227 + -0.79l + 2.09l = -0.838 + -2.09l + 2.09l Combine like terms: -0.79l + 2.09l = 1.3l -0.227 + 1.3l = -0.838 + -2.09l + 2.09l Combine like terms: -2.09l + 2.09l = 0.00 -0.227 + 1.3l = -0.838 + 0.00 -0.227 + 1.3l = -0.838 Add '0.227' to each side of the equation. -0.227 + 0.227 + 1.3l = -0.838 + 0.227 Combine like terms: -0.227 + 0.227 = 0.000 0.000 + 1.3l = -0.838 + 0.227 1.3l = -0.838 + 0.227 Combine like terms: -0.838 + 0.227 = -0.611 1.3l = -0.611 Divide each side by '1.3'. l = -0.47 Simplifying l = -0.47
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