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Simplifying 8 + -5k = -11 + 10k Solving 8 + -5k = -11 + 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. 8 + -5k + -10k = -11 + 10k + -10k Combine like terms: -5k + -10k = -15k 8 + -15k = -11 + 10k + -10k Combine like terms: 10k + -10k = 0 8 + -15k = -11 + 0 8 + -15k = -11 Add '-8' to each side of the equation. 8 + -8 + -15k = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -15k = -11 + -8 -15k = -11 + -8 Combine like terms: -11 + -8 = -19 -15k = -19 Divide each side by '-15'. k = 1.266666667 Simplifying k = 1.266666667
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