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Simplifying 5 + 3 + -2L = 5(3L + 7) Combine like terms: 5 + 3 = 8 8 + -2L = 5(3L + 7) Reorder the terms: 8 + -2L = 5(7 + 3L) 8 + -2L = (7 * 5 + 3L * 5) 8 + -2L = (35 + 15L) Solving 8 + -2L = 35 + 15L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-15L' to each side of the equation. 8 + -2L + -15L = 35 + 15L + -15L Combine like terms: -2L + -15L = -17L 8 + -17L = 35 + 15L + -15L Combine like terms: 15L + -15L = 0 8 + -17L = 35 + 0 8 + -17L = 35 Add '-8' to each side of the equation. 8 + -8 + -17L = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -17L = 35 + -8 -17L = 35 + -8 Combine like terms: 35 + -8 = 27 -17L = 27 Divide each side by '-17'. L = -1.588235294 Simplifying L = -1.588235294
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