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