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Simplifying 25 + -12k = 15 + -6k Solving 25 + -12k = 15 + -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 + -12k + 6k = 15 + -6k + 6k Combine like terms: -12k + 6k = -6k 25 + -6k = 15 + -6k + 6k Combine like terms: -6k + 6k = 0 25 + -6k = 15 + 0 25 + -6k = 15 Add '-25' to each side of the equation. 25 + -25 + -6k = 15 + -25 Combine like terms: 25 + -25 = 0 0 + -6k = 15 + -25 -6k = 15 + -25 Combine like terms: 15 + -25 = -10 -6k = -10 Divide each side by '-6'. k = 1.666666667 Simplifying k = 1.666666667
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