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Simplifying 4L + -2w + 5 = 6L + 2(w + 4) Reorder the terms: 5 + 4L + -2w = 6L + 2(w + 4) Reorder the terms: 5 + 4L + -2w = 6L + 2(4 + w) 5 + 4L + -2w = 6L + (4 * 2 + w * 2) 5 + 4L + -2w = 6L + (8 + 2w) Reorder the terms: 5 + 4L + -2w = 8 + 6L + 2w Solving 5 + 4L + -2w = 8 + 6L + 2w Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-6L' to each side of the equation. 5 + 4L + -6L + -2w = 8 + 6L + -6L + 2w Combine like terms: 4L + -6L = -2L 5 + -2L + -2w = 8 + 6L + -6L + 2w Combine like terms: 6L + -6L = 0 5 + -2L + -2w = 8 + 0 + 2w 5 + -2L + -2w = 8 + 2w Add '-5' to each side of the equation. 5 + -2L + -5 + -2w = 8 + -5 + 2w Reorder the terms: 5 + -5 + -2L + -2w = 8 + -5 + 2w Combine like terms: 5 + -5 = 0 0 + -2L + -2w = 8 + -5 + 2w -2L + -2w = 8 + -5 + 2w Combine like terms: 8 + -5 = 3 -2L + -2w = 3 + 2w Add '2w' to each side of the equation. -2L + -2w + 2w = 3 + 2w + 2w Combine like terms: -2w + 2w = 0 -2L + 0 = 3 + 2w + 2w -2L = 3 + 2w + 2w Combine like terms: 2w + 2w = 4w -2L = 3 + 4w Divide each side by '-2'. L = -1.5 + -2w Simplifying L = -1.5 + -2w
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