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Simplifying x + 6 + 2k = 15 Reorder the terms: 6 + 2k + x = 15 Solving 6 + 2k + x = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2k + -6 + x = 15 + -6 Reorder the terms: 6 + -6 + 2k + x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 2k + x = 15 + -6 2k + x = 15 + -6 Combine like terms: 15 + -6 = 9 2k + x = 9 Add '-1x' to each side of the equation. 2k + x + -1x = 9 + -1x Combine like terms: x + -1x = 0 2k + 0 = 9 + -1x 2k = 9 + -1x Divide each side by '2'. k = 4.5 + -0.5x Simplifying k = 4.5 + -0.5x
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