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Simplifying -8(10k + 8) = 8(10k + -4) Reorder the terms: -8(8 + 10k) = 8(10k + -4) (8 * -8 + 10k * -8) = 8(10k + -4) (-64 + -80k) = 8(10k + -4) Reorder the terms: -64 + -80k = 8(-4 + 10k) -64 + -80k = (-4 * 8 + 10k * 8) -64 + -80k = (-32 + 80k) Solving -64 + -80k = -32 + 80k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-80k' to each side of the equation. -64 + -80k + -80k = -32 + 80k + -80k Combine like terms: -80k + -80k = -160k -64 + -160k = -32 + 80k + -80k Combine like terms: 80k + -80k = 0 -64 + -160k = -32 + 0 -64 + -160k = -32 Add '64' to each side of the equation. -64 + 64 + -160k = -32 + 64 Combine like terms: -64 + 64 = 0 0 + -160k = -32 + 64 -160k = -32 + 64 Combine like terms: -32 + 64 = 32 -160k = 32 Divide each side by '-160'. k = -0.2 Simplifying k = -0.2
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