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Simplifying -2(2k + 3) + 4k = -2(6 + -3k) + 3k Reorder the terms: -2(3 + 2k) + 4k = -2(6 + -3k) + 3k (3 * -2 + 2k * -2) + 4k = -2(6 + -3k) + 3k (-6 + -4k) + 4k = -2(6 + -3k) + 3k Combine like terms: -4k + 4k = 0 -6 + 0 = -2(6 + -3k) + 3k -6 = -2(6 + -3k) + 3k -6 = (6 * -2 + -3k * -2) + 3k -6 = (-12 + 6k) + 3k Combine like terms: 6k + 3k = 9k -6 = -12 + 9k Solving -6 = -12 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -6 + -9k = -12 + 9k + -9k Combine like terms: 9k + -9k = 0 -6 + -9k = -12 + 0 -6 + -9k = -12 Add '6' to each side of the equation. -6 + 6 + -9k = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -9k = -12 + 6 -9k = -12 + 6 Combine like terms: -12 + 6 = -6 -9k = -6 Divide each side by '-9'. k = 0.6666666667 Simplifying k = 0.6666666667
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