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Simplifying -6(2k + 1) + 4 = -2 + 4k Reorder the terms: -6(1 + 2k) + 4 = -2 + 4k (1 * -6 + 2k * -6) + 4 = -2 + 4k (-6 + -12k) + 4 = -2 + 4k Reorder the terms: -6 + 4 + -12k = -2 + 4k Combine like terms: -6 + 4 = -2 -2 + -12k = -2 + 4k Add '2' to each side of the equation. -2 + 2 + -12k = -2 + 2 + 4k Combine like terms: -2 + 2 = 0 0 + -12k = -2 + 2 + 4k -12k = -2 + 2 + 4k Combine like terms: -2 + 2 = 0 -12k = 0 + 4k -12k = 4k Solving -12k = 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -12k + -4k = 4k + -4k Combine like terms: -12k + -4k = -16k -16k = 4k + -4k Combine like terms: 4k + -4k = 0 -16k = 0 Divide each side by '-16'. k = 0 Simplifying k = 0
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