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Simplifying 2L + -4R + 2 = 4L + -2R Reorder the terms: 2 + 2L + -4R = 4L + -2R Solving 2 + 2L + -4R = 4L + -2R Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-4L' to each side of the equation. 2 + 2L + -4L + -4R = 4L + -4L + -2R Combine like terms: 2L + -4L = -2L 2 + -2L + -4R = 4L + -4L + -2R Combine like terms: 4L + -4L = 0 2 + -2L + -4R = 0 + -2R 2 + -2L + -4R = -2R Add '-2' to each side of the equation. 2 + -2L + -2 + -4R = -2 + -2R Reorder the terms: 2 + -2 + -2L + -4R = -2 + -2R Combine like terms: 2 + -2 = 0 0 + -2L + -4R = -2 + -2R -2L + -4R = -2 + -2R Add '4R' to each side of the equation. -2L + -4R + 4R = -2 + -2R + 4R Combine like terms: -4R + 4R = 0 -2L + 0 = -2 + -2R + 4R -2L = -2 + -2R + 4R Combine like terms: -2R + 4R = 2R -2L = -2 + 2R Divide each side by '-2'. L = 1 + -1R Simplifying L = 1 + -1R
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