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Simplifying 4(3k + 6) = 4(y + 2) Reorder the terms: 4(6 + 3k) = 4(y + 2) (6 * 4 + 3k * 4) = 4(y + 2) (24 + 12k) = 4(y + 2) Reorder the terms: 24 + 12k = 4(2 + y) 24 + 12k = (2 * 4 + y * 4) 24 + 12k = (8 + 4y) Solving 24 + 12k = 8 + 4y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12k = 8 + -24 + 4y Combine like terms: 24 + -24 = 0 0 + 12k = 8 + -24 + 4y 12k = 8 + -24 + 4y Combine like terms: 8 + -24 = -16 12k = -16 + 4y Divide each side by '12'. k = -1.333333333 + 0.3333333333y Simplifying k = -1.333333333 + 0.3333333333y
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