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Simplifying -150 = -3k + 5(3 + -6k) -150 = -3k + (3 * 5 + -6k * 5) -150 = -3k + (15 + -30k) Reorder the terms: -150 = 15 + -3k + -30k Combine like terms: -3k + -30k = -33k -150 = 15 + -33k Solving -150 = 15 + -33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33k' to each side of the equation. -150 + 33k = 15 + -33k + 33k Combine like terms: -33k + 33k = 0 -150 + 33k = 15 + 0 -150 + 33k = 15 Add '150' to each side of the equation. -150 + 150 + 33k = 15 + 150 Combine like terms: -150 + 150 = 0 0 + 33k = 15 + 150 33k = 15 + 150 Combine like terms: 15 + 150 = 165 33k = 165 Divide each side by '33'. k = 5 Simplifying k = 5
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