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Simplifying 102 = 2L + 2W(2) + 6 Reorder the terms for easier multiplication: 102 = 2L + 2 * 2W + 6 Multiply 2 * 2 102 = 2L + 4W + 6 Reorder the terms: 102 = 6 + 2L + 4W Solving 102 = 6 + 2L + 4W Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-2L' to each side of the equation. 102 + -2L = 6 + 2L + -2L + 4W Combine like terms: 2L + -2L = 0 102 + -2L = 6 + 0 + 4W 102 + -2L = 6 + 4W Add '-102' to each side of the equation. 102 + -102 + -2L = 6 + -102 + 4W Combine like terms: 102 + -102 = 0 0 + -2L = 6 + -102 + 4W -2L = 6 + -102 + 4W Combine like terms: 6 + -102 = -96 -2L = -96 + 4W Divide each side by '-2'. L = 48 + -2W Simplifying L = 48 + -2W
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