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Simplifying -5(2 + -3k) = -65 (2 * -5 + -3k * -5) = -65 (-10 + 15k) = -65 Solving -10 + 15k = -65 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 15k = -65 + 10 Combine like terms: -10 + 10 = 0 0 + 15k = -65 + 10 15k = -65 + 10 Combine like terms: -65 + 10 = -55 15k = -55 Divide each side by '15'. k = -3.666666667 Simplifying k = -3.666666667
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