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Simplifying -4(3 + 5k) = -152 (3 * -4 + 5k * -4) = -152 (-12 + -20k) = -152 Solving -12 + -20k = -152 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -20k = -152 + 12 Combine like terms: -12 + 12 = 0 0 + -20k = -152 + 12 -20k = -152 + 12 Combine like terms: -152 + 12 = -140 -20k = -140 Divide each side by '-20'. k = 7 Simplifying k = 7
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