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Simplifying -5(8 + 9k) = -32 (8 * -5 + 9k * -5) = -32 (-40 + -45k) = -32 Solving -40 + -45k = -32 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 + -45k = -32 + 40 Combine like terms: -40 + 40 = 0 0 + -45k = -32 + 40 -45k = -32 + 40 Combine like terms: -32 + 40 = 8 -45k = 8 Divide each side by '-45'. k = -0.1777777778 Simplifying k = -0.1777777778
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