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Simplifying 8(4k + -4) + -5k = 32 Reorder the terms: 8(-4 + 4k) + -5k = 32 (-4 * 8 + 4k * 8) + -5k = 32 (-32 + 32k) + -5k = 32 Combine like terms: 32k + -5k = 27k -32 + 27k = 32 Solving -32 + 27k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 27k = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 27k = 32 + 32 27k = 32 + 32 Combine like terms: 32 + 32 = 64 27k = 64 Divide each side by '27'. k = 2.37037037 Simplifying k = 2.37037037
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