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Simplifying 8(5 + 4k) = -152 (5 * 8 + 4k * 8) = -152 (40 + 32k) = -152 Solving 40 + 32k = -152 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 + 32k = -152 + -40 Combine like terms: 40 + -40 = 0 0 + 32k = -152 + -40 32k = -152 + -40 Combine like terms: -152 + -40 = -192 32k = -192 Divide each side by '32'. k = -6 Simplifying k = -6
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