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Simplifying -12(9k + -5) = 8 + -8(11k + 6) Reorder the terms: -12(-5 + 9k) = 8 + -8(11k + 6) (-5 * -12 + 9k * -12) = 8 + -8(11k + 6) (60 + -108k) = 8 + -8(11k + 6) Reorder the terms: 60 + -108k = 8 + -8(6 + 11k) 60 + -108k = 8 + (6 * -8 + 11k * -8) 60 + -108k = 8 + (-48 + -88k) Combine like terms: 8 + -48 = -40 60 + -108k = -40 + -88k Solving 60 + -108k = -40 + -88k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '88k' to each side of the equation. 60 + -108k + 88k = -40 + -88k + 88k Combine like terms: -108k + 88k = -20k 60 + -20k = -40 + -88k + 88k Combine like terms: -88k + 88k = 0 60 + -20k = -40 + 0 60 + -20k = -40 Add '-60' to each side of the equation. 60 + -60 + -20k = -40 + -60 Combine like terms: 60 + -60 = 0 0 + -20k = -40 + -60 -20k = -40 + -60 Combine like terms: -40 + -60 = -100 -20k = -100 Divide each side by '-20'. k = 5 Simplifying k = 5
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