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Simplifying 5k + -2(4k + 4) = -20 + -1K Reorder the terms: 5k + -2(4 + 4k) = -20 + -1K 5k + (4 * -2 + 4k * -2) = -20 + -1K 5k + (-8 + -8k) = -20 + -1K Reorder the terms: -8 + 5k + -8k = -20 + -1K Combine like terms: 5k + -8k = -3k -8 + -3k = -20 + -1K Solving -8 + -3k = -20 + -1K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3k = -20 + 8 + -1K Combine like terms: -8 + 8 = 0 0 + -3k = -20 + 8 + -1K -3k = -20 + 8 + -1K Combine like terms: -20 + 8 = -12 -3k = -12 + -1K Divide each side by '-3'. k = 4 + 0.3333333333K Simplifying k = 4 + 0.3333333333K
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