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Simplifying -31 = 7k + 8k Combine like terms: 7k + 8k = 15k -31 = 15k Solving -31 = 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 + -15k = 15k + -15k Combine like terms: 15k + -15k = 0 -31 + -15k = 0 Add '31' to each side of the equation. -31 + 31 + -15k = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -15k = 0 + 31 -15k = 0 + 31 Combine like terms: 0 + 31 = 31 -15k = 31 Divide each side by '-15'. k = -2.066666667 Simplifying k = -2.066666667
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