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Simplifying -5(3 + -8k) = -21 (3 * -5 + -8k * -5) = -21 (-15 + 40k) = -21 Solving -15 + 40k = -21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 40k = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 40k = -21 + 15 40k = -21 + 15 Combine like terms: -21 + 15 = -6 40k = -6 Divide each side by '40'. k = -0.15 Simplifying k = -0.15
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