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Simplifying -13 + -6 + -2k = 17 + 16k Combine like terms: -13 + -6 = -19 -19 + -2k = 17 + 16k Solving -19 + -2k = 17 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -19 + -2k + -16k = 17 + 16k + -16k Combine like terms: -2k + -16k = -18k -19 + -18k = 17 + 16k + -16k Combine like terms: 16k + -16k = 0 -19 + -18k = 17 + 0 -19 + -18k = 17 Add '19' to each side of the equation. -19 + 19 + -18k = 17 + 19 Combine like terms: -19 + 19 = 0 0 + -18k = 17 + 19 -18k = 17 + 19 Combine like terms: 17 + 19 = 36 -18k = 36 Divide each side by '-18'. k = -2 Simplifying k = -2
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