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Simplifying 9 + k = 1 + 3k Solving 9 + k = 1 + 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. 9 + k + -3k = 1 + 3k + -3k Combine like terms: k + -3k = -2k 9 + -2k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 9 + -2k = 1 + 0 9 + -2k = 1 Add '-9' to each side of the equation. 9 + -9 + -2k = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = 1 + -9 -2k = 1 + -9 Combine like terms: 1 + -9 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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