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Simplifying 19k + 25 = 16 + -1(21k + -2) Reorder the terms: 25 + 19k = 16 + -1(21k + -2) 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 = 18 25 + 19k = 18 + -21k Solving 25 + 19k = 18 + -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 = 18 + -21k + 21k Combine like terms: 19k + 21k = 40k 25 + 40k = 18 + -21k + 21k Combine like terms: -21k + 21k = 0 25 + 40k = 18 + 0 25 + 40k = 18 Add '-25' to each side of the equation. 25 + -25 + 40k = 18 + -25 Combine like terms: 25 + -25 = 0 0 + 40k = 18 + -25 40k = 18 + -25 Combine like terms: 18 + -25 = -7 40k = -7 Divide each side by '40'. k = -0.175 Simplifying k = -0.175
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