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Simplifying 7 + 3 + -2L = 5(3L + 7) Combine like terms: 7 + 3 = 10 10 + -2L = 5(3L + 7) Reorder the terms: 10 + -2L = 5(7 + 3L) 10 + -2L = (7 * 5 + 3L * 5) 10 + -2L = (35 + 15L) Solving 10 + -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. 10 + -2L + -15L = 35 + 15L + -15L Combine like terms: -2L + -15L = -17L 10 + -17L = 35 + 15L + -15L Combine like terms: 15L + -15L = 0 10 + -17L = 35 + 0 10 + -17L = 35 Add '-10' to each side of the equation. 10 + -10 + -17L = 35 + -10 Combine like terms: 10 + -10 = 0 0 + -17L = 35 + -10 -17L = 35 + -10 Combine like terms: 35 + -10 = 25 -17L = 25 Divide each side by '-17'. L = -1.470588235 Simplifying L = -1.470588235
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