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Simplifying 8 + -2k = -7 + 9k Solving 8 + -2k = -7 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 8 + -2k + -9k = -7 + 9k + -9k Combine like terms: -2k + -9k = -11k 8 + -11k = -7 + 9k + -9k Combine like terms: 9k + -9k = 0 8 + -11k = -7 + 0 8 + -11k = -7 Add '-8' to each side of the equation. 8 + -8 + -11k = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -11k = -7 + -8 -11k = -7 + -8 Combine like terms: -7 + -8 = -15 -11k = -15 Divide each side by '-11'. k = 1.363636364 Simplifying k = 1.363636364
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