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Simplifying 2(9k + 7) = -5(4k + -8) Reorder the terms: 2(7 + 9k) = -5(4k + -8) (7 * 2 + 9k * 2) = -5(4k + -8) (14 + 18k) = -5(4k + -8) Reorder the terms: 14 + 18k = -5(-8 + 4k) 14 + 18k = (-8 * -5 + 4k * -5) 14 + 18k = (40 + -20k) Solving 14 + 18k = 40 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 14 + 18k + 20k = 40 + -20k + 20k Combine like terms: 18k + 20k = 38k 14 + 38k = 40 + -20k + 20k Combine like terms: -20k + 20k = 0 14 + 38k = 40 + 0 14 + 38k = 40 Add '-14' to each side of the equation. 14 + -14 + 38k = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 38k = 40 + -14 38k = 40 + -14 Combine like terms: 40 + -14 = 26 38k = 26 Divide each side by '38'. k = 0.6842105263 Simplifying k = 0.6842105263
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