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Simplifying -42 + 20 = 2k + 13k Combine like terms: -42 + 20 = -22 -22 = 2k + 13k Combine like terms: 2k + 13k = 15k -22 = 15k Solving -22 = 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -22 + -15k = 15k + -15k Combine like terms: 15k + -15k = 0 -22 + -15k = 0 Add '22' to each side of the equation. -22 + 22 + -15k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -15k = 0 + 22 -15k = 0 + 22 Combine like terms: 0 + 22 = 22 -15k = 22 Divide each side by '-15'. k = -1.466666667 Simplifying k = -1.466666667
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