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Simplifying 19k + 25 = 16 + -1(2 + -21k) Reorder the terms: 25 + 19k = 16 + -1(2 + -21k) 25 + 19k = 16 + (2 * -1 + -21k * -1) 25 + 19k = 16 + (-2 + 21k) Combine like terms: 16 + -2 = 14 25 + 19k = 14 + 21k Solving 25 + 19k = 14 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 25 + 19k + -21k = 14 + 21k + -21k Combine like terms: 19k + -21k = -2k 25 + -2k = 14 + 21k + -21k Combine like terms: 21k + -21k = 0 25 + -2k = 14 + 0 25 + -2k = 14 Add '-25' to each side of the equation. 25 + -25 + -2k = 14 + -25 Combine like terms: 25 + -25 = 0 0 + -2k = 14 + -25 -2k = 14 + -25 Combine like terms: 14 + -25 = -11 -2k = -11 Divide each side by '-2'. k = 5.5 Simplifying k = 5.5
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