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Simplifying 4 = -6(2 + 2k) + 2k 4 = (2 * -6 + 2k * -6) + 2k 4 = (-12 + -12k) + 2k Combine like terms: -12k + 2k = -10k 4 = -12 + -10k Solving 4 = -12 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 4 + 10k = -12 + -10k + 10k Combine like terms: -10k + 10k = 0 4 + 10k = -12 + 0 4 + 10k = -12 Add '-4' to each side of the equation. 4 + -4 + 10k = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 10k = -12 + -4 10k = -12 + -4 Combine like terms: -12 + -4 = -16 10k = -16 Divide each side by '10'. k = -1.6 Simplifying k = -1.6
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