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Simplifying 25 + 8k = 7(1 + 2k) 25 + 8k = (1 * 7 + 2k * 7) 25 + 8k = (7 + 14k) Solving 25 + 8k = 7 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 25 + 8k + -14k = 7 + 14k + -14k Combine like terms: 8k + -14k = -6k 25 + -6k = 7 + 14k + -14k Combine like terms: 14k + -14k = 0 25 + -6k = 7 + 0 25 + -6k = 7 Add '-25' to each side of the equation. 25 + -25 + -6k = 7 + -25 Combine like terms: 25 + -25 = 0 0 + -6k = 7 + -25 -6k = 7 + -25 Combine like terms: 7 + -25 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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