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Simplifying 8(4k + -4) = -6x + -22 Reorder the terms: 8(-4 + 4k) = -6x + -22 (-4 * 8 + 4k * 8) = -6x + -22 (-32 + 32k) = -6x + -22 Reorder the terms: -32 + 32k = -22 + -6x Solving -32 + 32k = -22 + -6x 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 = -22 + 32 + -6x Combine like terms: -32 + 32 = 0 0 + 32k = -22 + 32 + -6x 32k = -22 + 32 + -6x Combine like terms: -22 + 32 = 10 32k = 10 + -6x Divide each side by '32'. k = 0.3125 + -0.1875x Simplifying k = 0.3125 + -0.1875x
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