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Simplifying 10 + k = 25 + -3k Solving 10 + k = 25 + -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. 10 + k + 3k = 25 + -3k + 3k Combine like terms: k + 3k = 4k 10 + 4k = 25 + -3k + 3k Combine like terms: -3k + 3k = 0 10 + 4k = 25 + 0 10 + 4k = 25 Add '-10' to each side of the equation. 10 + -10 + 4k = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 4k = 25 + -10 4k = 25 + -10 Combine like terms: 25 + -10 = 15 4k = 15 Divide each side by '4'. k = 3.75 Simplifying k = 3.75
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