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Simplifying -25 = 19 + -1(5k + -6) Reorder the terms: -25 = 19 + -1(-6 + 5k) -25 = 19 + (-6 * -1 + 5k * -1) -25 = 19 + (6 + -5k) Combine like terms: 19 + 6 = 25 -25 = 25 + -5k Solving -25 = 25 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -25 + 5k = 25 + -5k + 5k Combine like terms: -5k + 5k = 0 -25 + 5k = 25 + 0 -25 + 5k = 25 Add '25' to each side of the equation. -25 + 25 + 5k = 25 + 25 Combine like terms: -25 + 25 = 0 0 + 5k = 25 + 25 5k = 25 + 25 Combine like terms: 25 + 25 = 50 5k = 50 Divide each side by '5'. k = 10 Simplifying k = 10
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