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Simplifying -9 + k + 3k = 9 + -2k Combine like terms: k + 3k = 4k -9 + 4k = 9 + -2k Solving -9 + 4k = 9 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -9 + 4k + 2k = 9 + -2k + 2k Combine like terms: 4k + 2k = 6k -9 + 6k = 9 + -2k + 2k Combine like terms: -2k + 2k = 0 -9 + 6k = 9 + 0 -9 + 6k = 9 Add '9' to each side of the equation. -9 + 9 + 6k = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 6k = 9 + 9 6k = 9 + 9 Combine like terms: 9 + 9 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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