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Simplifying -2(8k + 2) + 6k = -40 + -4K Reorder the terms: -2(2 + 8k) + 6k = -40 + -4K (2 * -2 + 8k * -2) + 6k = -40 + -4K (-4 + -16k) + 6k = -40 + -4K Combine like terms: -16k + 6k = -10k -4 + -10k = -40 + -4K Solving -4 + -10k = -40 + -4K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -10k = -40 + 4 + -4K Combine like terms: -4 + 4 = 0 0 + -10k = -40 + 4 + -4K -10k = -40 + 4 + -4K Combine like terms: -40 + 4 = -36 -10k = -36 + -4K Divide each side by '-10'. k = 3.6 + 0.4K Simplifying k = 3.6 + 0.4K
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