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Simplifying 5(3k + 8) = 6x + 4 Reorder the terms: 5(8 + 3k) = 6x + 4 (8 * 5 + 3k * 5) = 6x + 4 (40 + 15k) = 6x + 4 Reorder the terms: 40 + 15k = 4 + 6x Solving 40 + 15k = 4 + 6x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 15k = 4 + -40 + 6x Combine like terms: 40 + -40 = 0 0 + 15k = 4 + -40 + 6x 15k = 4 + -40 + 6x Combine like terms: 4 + -40 = -36 15k = -36 + 6x Divide each side by '15'. k = -2.4 + 0.4x Simplifying k = -2.4 + 0.4x
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