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Simplifying 6 + -2(k + 3) = k + 2 Reorder the terms: 6 + -2(3 + k) = k + 2 6 + (3 * -2 + k * -2) = k + 2 6 + (-6 + -2k) = k + 2 Combine like terms: 6 + -6 = 0 0 + -2k = k + 2 -2k = k + 2 Reorder the terms: -2k = 2 + k Solving -2k = 2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -2k + -1k = 2 + k + -1k Combine like terms: -2k + -1k = -3k -3k = 2 + k + -1k Combine like terms: k + -1k = 0 -3k = 2 + 0 -3k = 2 Divide each side by '-3'. k = -0.6666666667 Simplifying k = -0.6666666667
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