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Simplifying 25 = 7 + 3k + -12 Reorder the terms: 25 = 7 + -12 + 3k Combine like terms: 7 + -12 = -5 25 = -5 + 3k Solving 25 = -5 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 25 + -3k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 25 + -3k = -5 + 0 25 + -3k = -5 Add '-25' to each side of the equation. 25 + -25 + -3k = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -3k = -5 + -25 -3k = -5 + -25 Combine like terms: -5 + -25 = -30 -3k = -30 Divide each side by '-3'. k = 10 Simplifying k = 10
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