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Simplifying 5(5k + -5) = 32 + 6k Reorder the terms: 5(-5 + 5k) = 32 + 6k (-5 * 5 + 5k * 5) = 32 + 6k (-25 + 25k) = 32 + 6k Solving -25 + 25k = 32 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -25 + 25k + -6k = 32 + 6k + -6k Combine like terms: 25k + -6k = 19k -25 + 19k = 32 + 6k + -6k Combine like terms: 6k + -6k = 0 -25 + 19k = 32 + 0 -25 + 19k = 32 Add '25' to each side of the equation. -25 + 25 + 19k = 32 + 25 Combine like terms: -25 + 25 = 0 0 + 19k = 32 + 25 19k = 32 + 25 Combine like terms: 32 + 25 = 57 19k = 57 Divide each side by '19'. k = 3 Simplifying k = 3
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