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Simplifying 19 + 3k = -5(8k + -2) Reorder the terms: 19 + 3k = -5(-2 + 8k) 19 + 3k = (-2 * -5 + 8k * -5) 19 + 3k = (10 + -40k) Solving 19 + 3k = 10 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. 19 + 3k + 40k = 10 + -40k + 40k Combine like terms: 3k + 40k = 43k 19 + 43k = 10 + -40k + 40k Combine like terms: -40k + 40k = 0 19 + 43k = 10 + 0 19 + 43k = 10 Add '-19' to each side of the equation. 19 + -19 + 43k = 10 + -19 Combine like terms: 19 + -19 = 0 0 + 43k = 10 + -19 43k = 10 + -19 Combine like terms: 10 + -19 = -9 43k = -9 Divide each side by '43'. k = -0.2093023256 Simplifying k = -0.2093023256
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