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Simplifying 30.4 = 2L + 2(4L + -26.3) Reorder the terms: 30.4 = 2L + 2(-26.3 + 4L) 30.4 = 2L + (-26.3 * 2 + 4L * 2) 30.4 = 2L + (-52.6 + 8L) Reorder the terms: 30.4 = -52.6 + 2L + 8L Combine like terms: 2L + 8L = 10L 30.4 = -52.6 + 10L Solving 30.4 = -52.6 + 10L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-10L' to each side of the equation. 30.4 + -10L = -52.6 + 10L + -10L Combine like terms: 10L + -10L = 0 30.4 + -10L = -52.6 + 0 30.4 + -10L = -52.6 Add '-30.4' to each side of the equation. 30.4 + -30.4 + -10L = -52.6 + -30.4 Combine like terms: 30.4 + -30.4 = 0.0 0.0 + -10L = -52.6 + -30.4 -10L = -52.6 + -30.4 Combine like terms: -52.6 + -30.4 = -83 -10L = -83 Divide each side by '-10'. L = 8.3 Simplifying L = 8.3
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