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Simplifying 6(2L + 7) = 174 Reorder the terms: 6(7 + 2L) = 174 (7 * 6 + 2L * 6) = 174 (42 + 12L) = 174 Solving 42 + 12L = 174 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12L = 174 + -42 Combine like terms: 42 + -42 = 0 0 + 12L = 174 + -42 12L = 174 + -42 Combine like terms: 174 + -42 = 132 12L = 132 Divide each side by '12'. L = 11 Simplifying L = 11
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