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Simplifying -36 = k + -13 + 14k Reorder the terms: -36 = -13 + k + 14k Combine like terms: k + 14k = 15k -36 = -13 + 15k Solving -36 = -13 + 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. -36 + -15k = -13 + 15k + -15k Combine like terms: 15k + -15k = 0 -36 + -15k = -13 + 0 -36 + -15k = -13 Add '36' to each side of the equation. -36 + 36 + -15k = -13 + 36 Combine like terms: -36 + 36 = 0 0 + -15k = -13 + 36 -15k = -13 + 36 Combine like terms: -13 + 36 = 23 -15k = 23 Divide each side by '-15'. k = -1.533333333 Simplifying k = -1.533333333
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