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Simplifying (L + -3k) + -4(2 + 2.5k) = 0 Remove parenthesis around (L + -3k) L + -3k + -4(2 + 2.5k) = 0 L + -3k + (2 * -4 + 2.5k * -4) = 0 L + -3k + (-8 + -10k) = 0 Reorder the terms: -8 + L + -3k + -10k = 0 Combine like terms: -3k + -10k = -13k -8 + L + -13k = 0 Solving -8 + L + -13k = 0 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '8' to each side of the equation. -8 + L + 8 + -13k = 0 + 8 Reorder the terms: -8 + 8 + L + -13k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + L + -13k = 0 + 8 L + -13k = 0 + 8 Combine like terms: 0 + 8 = 8 L + -13k = 8 Add '13k' to each side of the equation. L + -13k + 13k = 8 + 13k Combine like terms: -13k + 13k = 0 L + 0 = 8 + 13k L = 8 + 13k Simplifying L = 8 + 13k
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