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Simplifying 5 + 19k = -13 + 17k Solving 5 + 19k = -13 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 5 + 19k + -17k = -13 + 17k + -17k Combine like terms: 19k + -17k = 2k 5 + 2k = -13 + 17k + -17k Combine like terms: 17k + -17k = 0 5 + 2k = -13 + 0 5 + 2k = -13 Add '-5' to each side of the equation. 5 + -5 + 2k = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = -13 + -5 2k = -13 + -5 Combine like terms: -13 + -5 = -18 2k = -18 Divide each side by '2'. k = -9 Simplifying k = -9
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