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Simplifying 6(L + 2) = 36 + -6L Reorder the terms: 6(2 + L) = 36 + -6L (2 * 6 + L * 6) = 36 + -6L (12 + 6L) = 36 + -6L Solving 12 + 6L = 36 + -6L 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. 12 + 6L + 6L = 36 + -6L + 6L Combine like terms: 6L + 6L = 12L 12 + 12L = 36 + -6L + 6L Combine like terms: -6L + 6L = 0 12 + 12L = 36 + 0 12 + 12L = 36 Add '-12' to each side of the equation. 12 + -12 + 12L = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 12L = 36 + -12 12L = 36 + -12 Combine like terms: 36 + -12 = 24 12L = 24 Divide each side by '12'. L = 2 Simplifying L = 2
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