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Simplifying 25 = -8(5k + 2) Reorder the terms: 25 = -8(2 + 5k) 25 = (2 * -8 + 5k * -8) 25 = (-16 + -40k) Solving 25 = -16 + -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. 25 + 40k = -16 + -40k + 40k Combine like terms: -40k + 40k = 0 25 + 40k = -16 + 0 25 + 40k = -16 Add '-25' to each side of the equation. 25 + -25 + 40k = -16 + -25 Combine like terms: 25 + -25 = 0 0 + 40k = -16 + -25 40k = -16 + -25 Combine like terms: -16 + -25 = -41 40k = -41 Divide each side by '40'. k = -1.025 Simplifying k = -1.025
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