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Simplifying 8(4k + -2) = -2(3 + 6x) Reorder the terms: 8(-2 + 4k) = -2(3 + 6x) (-2 * 8 + 4k * 8) = -2(3 + 6x) (-16 + 32k) = -2(3 + 6x) -16 + 32k = (3 * -2 + 6x * -2) -16 + 32k = (-6 + -12x) Solving -16 + 32k = -6 + -12x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 32k = -6 + 16 + -12x Combine like terms: -16 + 16 = 0 0 + 32k = -6 + 16 + -12x 32k = -6 + 16 + -12x Combine like terms: -6 + 16 = 10 32k = 10 + -12x Divide each side by '32'. k = 0.3125 + -0.375x Simplifying k = 0.3125 + -0.375x
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