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Simplifying 2L + 2W = 4(L + -1W + 7) Reorder the terms: 2L + 2W = 4(7 + L + -1W) 2L + 2W = (7 * 4 + L * 4 + -1W * 4) 2L + 2W = (28 + 4L + -4W) Solving 2L + 2W = 28 + 4L + -4W 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. 2L + -4L + 2W = 28 + 4L + -4L + -4W Combine like terms: 2L + -4L = -2L -2L + 2W = 28 + 4L + -4L + -4W Combine like terms: 4L + -4L = 0 -2L + 2W = 28 + 0 + -4W -2L + 2W = 28 + -4W Add '-2W' to each side of the equation. -2L + 2W + -2W = 28 + -4W + -2W Combine like terms: 2W + -2W = 0 -2L + 0 = 28 + -4W + -2W -2L = 28 + -4W + -2W Combine like terms: -4W + -2W = -6W -2L = 28 + -6W Divide each side by '-2'. L = -14 + 3W Simplifying L = -14 + 3W
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