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Simplifying 100 = 2(42) + 2L Multiply 2 * 42 100 = 84 + 2L Solving 100 = 84 + 2L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-2L' to each side of the equation. 100 + -2L = 84 + 2L + -2L Combine like terms: 2L + -2L = 0 100 + -2L = 84 + 0 100 + -2L = 84 Add '-100' to each side of the equation. 100 + -100 + -2L = 84 + -100 Combine like terms: 100 + -100 = 0 0 + -2L = 84 + -100 -2L = 84 + -100 Combine like terms: 84 + -100 = -16 -2L = -16 Divide each side by '-2'. L = 8 Simplifying L = 8
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