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Simplifying (k + -9) + (2k + 8) = 0 Reorder the terms: (-9 + k) + (2k + 8) = 0 Remove parenthesis around (-9 + k) -9 + k + (2k + 8) = 0 Reorder the terms: -9 + k + (8 + 2k) = 0 Remove parenthesis around (8 + 2k) -9 + k + 8 + 2k = 0 Reorder the terms: -9 + 8 + k + 2k = 0 Combine like terms: -9 + 8 = -1 -1 + k + 2k = 0 Combine like terms: k + 2k = 3k -1 + 3k = 0 Solving -1 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3k = 0 + 1 3k = 0 + 1 Combine like terms: 0 + 1 = 1 3k = 1 Divide each side by '3'. k = 0.3333333333 Simplifying k = 0.3333333333
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