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Simplifying 8 + 3(1 + -5k) = -25 + -3k 8 + (1 * 3 + -5k * 3) = -25 + -3k 8 + (3 + -15k) = -25 + -3k Combine like terms: 8 + 3 = 11 11 + -15k = -25 + -3k Solving 11 + -15k = -25 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 11 + -15k + 3k = -25 + -3k + 3k Combine like terms: -15k + 3k = -12k 11 + -12k = -25 + -3k + 3k Combine like terms: -3k + 3k = 0 11 + -12k = -25 + 0 11 + -12k = -25 Add '-11' to each side of the equation. 11 + -11 + -12k = -25 + -11 Combine like terms: 11 + -11 = 0 0 + -12k = -25 + -11 -12k = -25 + -11 Combine like terms: -25 + -11 = -36 -12k = -36 Divide each side by '-12'. k = 3 Simplifying k = 3
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