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Simplifying 25 = -3k + 5(k + 7) Reorder the terms: 25 = -3k + 5(7 + k) 25 = -3k + (7 * 5 + k * 5) 25 = -3k + (35 + 5k) Reorder the terms: 25 = 35 + -3k + 5k Combine like terms: -3k + 5k = 2k 25 = 35 + 2k Solving 25 = 35 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 25 + -2k = 35 + 2k + -2k Combine like terms: 2k + -2k = 0 25 + -2k = 35 + 0 25 + -2k = 35 Add '-25' to each side of the equation. 25 + -25 + -2k = 35 + -25 Combine like terms: 25 + -25 = 0 0 + -2k = 35 + -25 -2k = 35 + -25 Combine like terms: 35 + -25 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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