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Simplifying -8(6k + 2) + 4(2k + -6) = 0 Reorder the terms: -8(2 + 6k) + 4(2k + -6) = 0 (2 * -8 + 6k * -8) + 4(2k + -6) = 0 (-16 + -48k) + 4(2k + -6) = 0 Reorder the terms: -16 + -48k + 4(-6 + 2k) = 0 -16 + -48k + (-6 * 4 + 2k * 4) = 0 -16 + -48k + (-24 + 8k) = 0 Reorder the terms: -16 + -24 + -48k + 8k = 0 Combine like terms: -16 + -24 = -40 -40 + -48k + 8k = 0 Combine like terms: -48k + 8k = -40k -40 + -40k = 0 Solving -40 + -40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -40k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -40k = 0 + 40 -40k = 0 + 40 Combine like terms: 0 + 40 = 40 -40k = 40 Divide each side by '-40'. k = -1 Simplifying k = -1
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