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Simplifying 2L + 2(L + -7) = 82 Reorder the terms: 2L + 2(-7 + L) = 82 2L + (-7 * 2 + L * 2) = 82 2L + (-14 + 2L) = 82 Reorder the terms: -14 + 2L + 2L = 82 Combine like terms: 2L + 2L = 4L -14 + 4L = 82 Solving -14 + 4L = 82 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 4L = 82 + 14 Combine like terms: -14 + 14 = 0 0 + 4L = 82 + 14 4L = 82 + 14 Combine like terms: 82 + 14 = 96 4L = 96 Divide each side by '4'. L = 24 Simplifying L = 24
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