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Simplifying 1.4l + -45.8 = 77.1 + -0.2l Reorder the terms: -45.8 + 1.4l = 77.1 + -0.2l Solving -45.8 + 1.4l = 77.1 + -0.2l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '0.2l' to each side of the equation. -45.8 + 1.4l + 0.2l = 77.1 + -0.2l + 0.2l Combine like terms: 1.4l + 0.2l = 1.6l -45.8 + 1.6l = 77.1 + -0.2l + 0.2l Combine like terms: -0.2l + 0.2l = 0.0 -45.8 + 1.6l = 77.1 + 0.0 -45.8 + 1.6l = 77.1 Add '45.8' to each side of the equation. -45.8 + 45.8 + 1.6l = 77.1 + 45.8 Combine like terms: -45.8 + 45.8 = 0.0 0.0 + 1.6l = 77.1 + 45.8 1.6l = 77.1 + 45.8 Combine like terms: 77.1 + 45.8 = 122.9 1.6l = 122.9 Divide each side by '1.6'. l = 76.8125 Simplifying l = 76.8125
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