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Simplifying 138 = 6(3 + -4k) 138 = (3 * 6 + -4k * 6) 138 = (18 + -24k) Solving 138 = 18 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 138 + 24k = 18 + -24k + 24k Combine like terms: -24k + 24k = 0 138 + 24k = 18 + 0 138 + 24k = 18 Add '-138' to each side of the equation. 138 + -138 + 24k = 18 + -138 Combine like terms: 138 + -138 = 0 0 + 24k = 18 + -138 24k = 18 + -138 Combine like terms: 18 + -138 = -120 24k = -120 Divide each side by '24'. k = -5 Simplifying k = -5
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