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Simplifying -1(5 + 2k) + -5(5k + -6) = 25 (5 * -1 + 2k * -1) + -5(5k + -6) = 25 (-5 + -2k) + -5(5k + -6) = 25 Reorder the terms: -5 + -2k + -5(-6 + 5k) = 25 -5 + -2k + (-6 * -5 + 5k * -5) = 25 -5 + -2k + (30 + -25k) = 25 Reorder the terms: -5 + 30 + -2k + -25k = 25 Combine like terms: -5 + 30 = 25 25 + -2k + -25k = 25 Combine like terms: -2k + -25k = -27k 25 + -27k = 25 Add '-25' to each side of the equation. 25 + -25 + -27k = 25 + -25 Combine like terms: 25 + -25 = 0 0 + -27k = 25 + -25 -27k = 25 + -25 Combine like terms: 25 + -25 = 0 -27k = 0 Solving -27k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-27'. k = 0 Simplifying k = 0
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