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Simplifying 3(8l + -2) + -6 = 2(3k + 1) + -5 Reorder the terms: 3(-2 + 8l) + -6 = 2(3k + 1) + -5 (-2 * 3 + 8l * 3) + -6 = 2(3k + 1) + -5 (-6 + 24l) + -6 = 2(3k + 1) + -5 Reorder the terms: -6 + -6 + 24l = 2(3k + 1) + -5 Combine like terms: -6 + -6 = -12 -12 + 24l = 2(3k + 1) + -5 Reorder the terms: -12 + 24l = 2(1 + 3k) + -5 -12 + 24l = (1 * 2 + 3k * 2) + -5 -12 + 24l = (2 + 6k) + -5 Reorder the terms: -12 + 24l = 2 + -5 + 6k Combine like terms: 2 + -5 = -3 -12 + 24l = -3 + 6k Solving -12 + 24l = -3 + 6k Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24l = -3 + 12 + 6k Combine like terms: -12 + 12 = 0 0 + 24l = -3 + 12 + 6k 24l = -3 + 12 + 6k Combine like terms: -3 + 12 = 9 24l = 9 + 6k Divide each side by '24'. l = 0.375 + 0.25k Simplifying l = 0.375 + 0.25k
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