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