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Simplifying 6(2l + 1) = 114 Reorder the terms: 6(1 + 2l) = 114 (1 * 6 + 2l * 6) = 114 (6 + 12l) = 114 Solving 6 + 12l = 114 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12l = 114 + -6 Combine like terms: 6 + -6 = 0 0 + 12l = 114 + -6 12l = 114 + -6 Combine like terms: 114 + -6 = 108 12l = 108 Divide each side by '12'. l = 9 Simplifying l = 9
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