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Simplifying 15k + -1(25k + 5) = 1(25k + 5) Reorder the terms: 15k + -1(5 + 25k) = 1(25k + 5) 15k + (5 * -1 + 25k * -1) = 1(25k + 5) 15k + (-5 + -25k) = 1(25k + 5) Reorder the terms: -5 + 15k + -25k = 1(25k + 5) Combine like terms: 15k + -25k = -10k -5 + -10k = 1(25k + 5) Reorder the terms: -5 + -10k = 1(5 + 25k) -5 + -10k = (5 * 1 + 25k * 1) -5 + -10k = (5 + 25k) Solving -5 + -10k = 5 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -5 + -10k + -25k = 5 + 25k + -25k Combine like terms: -10k + -25k = -35k -5 + -35k = 5 + 25k + -25k Combine like terms: 25k + -25k = 0 -5 + -35k = 5 + 0 -5 + -35k = 5 Add '5' to each side of the equation. -5 + 5 + -35k = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -35k = 5 + 5 -35k = 5 + 5 Combine like terms: 5 + 5 = 10 -35k = 10 Divide each side by '-35'. k = -0.2857142857 Simplifying k = -0.2857142857
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