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Simplifying 5(k + -5) = 6k Reorder the terms: 5(-5 + k) = 6k (-5 * 5 + k * 5) = 6k (-25 + 5k) = 6k Solving -25 + 5k = 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 + 5k + -6k = 6k + -6k Combine like terms: 5k + -6k = -1k -25 + -1k = 6k + -6k Combine like terms: 6k + -6k = 0 -25 + -1k = 0 Add '25' to each side of the equation. -25 + 25 + -1k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1k = 0 + 25 -1k = 0 + 25 Combine like terms: 0 + 25 = 25 -1k = 25 Divide each side by '-1'. k = -25 Simplifying k = -25
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