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Simplifying -18 + -13 + -18k = -15k + 20 Combine like terms: -18 + -13 = -31 -31 + -18k = -15k + 20 Reorder the terms: -31 + -18k = 20 + -15k Solving -31 + -18k = 20 + -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. -31 + -18k + 15k = 20 + -15k + 15k Combine like terms: -18k + 15k = -3k -31 + -3k = 20 + -15k + 15k Combine like terms: -15k + 15k = 0 -31 + -3k = 20 + 0 -31 + -3k = 20 Add '31' to each side of the equation. -31 + 31 + -3k = 20 + 31 Combine like terms: -31 + 31 = 0 0 + -3k = 20 + 31 -3k = 20 + 31 Combine like terms: 20 + 31 = 51 -3k = 51 Divide each side by '-3'. k = -17 Simplifying k = -17
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