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Simplifying 150 = -5k + -5(3k + -6) Reorder the terms: 150 = -5k + -5(-6 + 3k) 150 = -5k + (-6 * -5 + 3k * -5) 150 = -5k + (30 + -15k) Reorder the terms: 150 = 30 + -5k + -15k Combine like terms: -5k + -15k = -20k 150 = 30 + -20k Solving 150 = 30 + -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. 150 + 20k = 30 + -20k + 20k Combine like terms: -20k + 20k = 0 150 + 20k = 30 + 0 150 + 20k = 30 Add '-150' to each side of the equation. 150 + -150 + 20k = 30 + -150 Combine like terms: 150 + -150 = 0 0 + 20k = 30 + -150 20k = 30 + -150 Combine like terms: 30 + -150 = -120 20k = -120 Divide each side by '20'. k = -6 Simplifying k = -6
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