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Simplifying 25 + -8k = -4(3k + 5) Reorder the terms: 25 + -8k = -4(5 + 3k) 25 + -8k = (5 * -4 + 3k * -4) 25 + -8k = (-20 + -12k) Solving 25 + -8k = -20 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 25 + -8k + 12k = -20 + -12k + 12k Combine like terms: -8k + 12k = 4k 25 + 4k = -20 + -12k + 12k Combine like terms: -12k + 12k = 0 25 + 4k = -20 + 0 25 + 4k = -20 Add '-25' to each side of the equation. 25 + -25 + 4k = -20 + -25 Combine like terms: 25 + -25 = 0 0 + 4k = -20 + -25 4k = -20 + -25 Combine like terms: -20 + -25 = -45 4k = -45 Divide each side by '4'. k = -11.25 Simplifying k = -11.25
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