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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 Reorder the terms: 32 + -32k = -32 + -5k Solving 32 + -32k = -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. 32 + -32k + 5k = -32 + -5k + 5k Combine like terms: -32k + 5k = -27k 32 + -27k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 32 + -27k = -32 + 0 32 + -27k = -32 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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