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Simplifying -3(1 + -4k) = k + -25 (1 * -3 + -4k * -3) = k + -25 (-3 + 12k) = k + -25 Reorder the terms: -3 + 12k = -25 + k Solving -3 + 12k = -25 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3 + 12k + -1k = -25 + k + -1k Combine like terms: 12k + -1k = 11k -3 + 11k = -25 + k + -1k Combine like terms: k + -1k = 0 -3 + 11k = -25 + 0 -3 + 11k = -25 Add '3' to each side of the equation. -3 + 3 + 11k = -25 + 3 Combine like terms: -3 + 3 = 0 0 + 11k = -25 + 3 11k = -25 + 3 Combine like terms: -25 + 3 = -22 11k = -22 Divide each side by '11'. k = -2 Simplifying k = -2
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