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Simplifying 6(4L + 7k) + -16L + 14 = 0 (4L * 6 + 7k * 6) + -16L + 14 = 0 (24L + 42k) + -16L + 14 = 0 Reorder the terms: 14 + 24L + -16L + 42k = 0 Combine like terms: 24L + -16L = 8L 14 + 8L + 42k = 0 Solving 14 + 8L + 42k = 0 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 8L + -14 + 42k = 0 + -14 Reorder the terms: 14 + -14 + 8L + 42k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8L + 42k = 0 + -14 8L + 42k = 0 + -14 Combine like terms: 0 + -14 = -14 8L + 42k = -14 Add '-42k' to each side of the equation. 8L + 42k + -42k = -14 + -42k Combine like terms: 42k + -42k = 0 8L + 0 = -14 + -42k 8L = -14 + -42k Divide each side by '8'. L = -1.75 + -5.25k Simplifying L = -1.75 + -5.25k
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