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Simplifying 6(5k + -5) + 5 = 125 Reorder the terms: 6(-5 + 5k) + 5 = 125 (-5 * 6 + 5k * 6) + 5 = 125 (-30 + 30k) + 5 = 125 Reorder the terms: -30 + 5 + 30k = 125 Combine like terms: -30 + 5 = -25 -25 + 30k = 125 Solving -25 + 30k = 125 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 30k = 125 + 25 Combine like terms: -25 + 25 = 0 0 + 30k = 125 + 25 30k = 125 + 25 Combine like terms: 125 + 25 = 150 30k = 150 Divide each side by '30'. k = 5 Simplifying k = 5
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