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Simplifying -3k + 5(6k + -5) = 25 + 2k Reorder the terms: -3k + 5(-5 + 6k) = 25 + 2k -3k + (-5 * 5 + 6k * 5) = 25 + 2k -3k + (-25 + 30k) = 25 + 2k Reorder the terms: -25 + -3k + 30k = 25 + 2k Combine like terms: -3k + 30k = 27k -25 + 27k = 25 + 2k Solving -25 + 27k = 25 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -25 + 27k + -2k = 25 + 2k + -2k Combine like terms: 27k + -2k = 25k -25 + 25k = 25 + 2k + -2k Combine like terms: 2k + -2k = 0 -25 + 25k = 25 + 0 -25 + 25k = 25 Add '25' to each side of the equation. -25 + 25 + 25k = 25 + 25 Combine like terms: -25 + 25 = 0 0 + 25k = 25 + 25 25k = 25 + 25 Combine like terms: 25 + 25 = 50 25k = 50 Divide each side by '25'. k = 2 Simplifying k = 2
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