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Simplifying -8(4k + -4) = -5 + -32 Reorder the terms: -8(-4 + 4k) = -5 + -32 (-4 * -8 + 4k * -8) = -5 + -32 (32 + -32k) = -5 + -32 Combine like terms: -5 + -32 = -37 32 + -32k = -37 Solving 32 + -32k = -37 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 + -32k = -37 + -32 Combine like terms: 32 + -32 = 0 0 + -32k = -37 + -32 -32k = -37 + -32 Combine like terms: -37 + -32 = -69 -32k = -69 Divide each side by '-32'. k = 2.15625 Simplifying k = 2.15625
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