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Simplifying 10(4k + -4) = -5k + -32 Reorder the terms: 10(-4 + 4k) = -5k + -32 (-4 * 10 + 4k * 10) = -5k + -32 (-40 + 40k) = -5k + -32 Reorder the terms: -40 + 40k = -32 + -5k Solving -40 + 40k = -32 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -40 + 40k + 5k = -32 + -5k + 5k Combine like terms: 40k + 5k = 45k -40 + 45k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 -40 + 45k = -32 + 0 -40 + 45k = -32 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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