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Simplifying -320 = -8(4 + -4k) -320 = (4 * -8 + -4k * -8) -320 = (-32 + 32k) Solving -320 = -32 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. -320 + -32k = -32 + 32k + -32k Combine like terms: 32k + -32k = 0 -320 + -32k = -32 + 0 -320 + -32k = -32 Add '320' to each side of the equation. -320 + 320 + -32k = -32 + 320 Combine like terms: -320 + 320 = 0 0 + -32k = -32 + 320 -32k = -32 + 320 Combine like terms: -32 + 320 = 288 -32k = 288 Divide each side by '-32'. k = -9 Simplifying k = -9
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