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Simplifying 25k + -19 = 16k + 35 Reorder the terms: -19 + 25k = 16k + 35 Reorder the terms: -19 + 25k = 35 + 16k Solving -19 + 25k = 35 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -19 + 25k + -16k = 35 + 16k + -16k Combine like terms: 25k + -16k = 9k -19 + 9k = 35 + 16k + -16k Combine like terms: 16k + -16k = 0 -19 + 9k = 35 + 0 -19 + 9k = 35 Add '19' to each side of the equation. -19 + 19 + 9k = 35 + 19 Combine like terms: -19 + 19 = 0 0 + 9k = 35 + 19 9k = 35 + 19 Combine like terms: 35 + 19 = 54 9k = 54 Divide each side by '9'. k = 6 Simplifying k = 6
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