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Simplifying -5(5 + -6k) + 2 = 5 + 2 (5 * -5 + -6k * -5) + 2 = 5 + 2 (-25 + 30k) + 2 = 5 + 2 Reorder the terms: -25 + 2 + 30k = 5 + 2 Combine like terms: -25 + 2 = -23 -23 + 30k = 5 + 2 Combine like terms: 5 + 2 = 7 -23 + 30k = 7 Solving -23 + 30k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 30k = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 30k = 7 + 23 30k = 7 + 23 Combine like terms: 7 + 23 = 30 30k = 30 Divide each side by '30'. k = 1 Simplifying k = 1
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