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Simplifying -19 + -13k = 20 + -10k Solving -19 + -13k = 20 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -19 + -13k + 10k = 20 + -10k + 10k Combine like terms: -13k + 10k = -3k -19 + -3k = 20 + -10k + 10k Combine like terms: -10k + 10k = 0 -19 + -3k = 20 + 0 -19 + -3k = 20 Add '19' to each side of the equation. -19 + 19 + -3k = 20 + 19 Combine like terms: -19 + 19 = 0 0 + -3k = 20 + 19 -3k = 20 + 19 Combine like terms: 20 + 19 = 39 -3k = 39 Divide each side by '-3'. k = -13 Simplifying k = -13
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