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Simplifying -8(4 + 6k) = 160 (4 * -8 + 6k * -8) = 160 (-32 + -48k) = 160 Solving -32 + -48k = 160 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 + -48k = 160 + 32 Combine like terms: -32 + 32 = 0 0 + -48k = 160 + 32 -48k = 160 + 32 Combine like terms: 160 + 32 = 192 -48k = 192 Divide each side by '-48'. k = -4 Simplifying k = -4
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