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Simplifying 15 + -9 = k + 18 + -29 Combine like terms: 15 + -9 = 6 6 = k + 18 + -29 Reorder the terms: 6 = 18 + -29 + k Combine like terms: 18 + -29 = -11 6 = -11 + k Solving 6 = -11 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 6 + -1k = -11 + k + -1k Combine like terms: k + -1k = 0 6 + -1k = -11 + 0 6 + -1k = -11 Add '-6' to each side of the equation. 6 + -6 + -1k = -11 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = -11 + -6 -1k = -11 + -6 Combine like terms: -11 + -6 = -17 -1k = -17 Divide each side by '-1'. k = 17 Simplifying k = 17
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