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Simplifying 4(3 + -3k) = 34 + -1k (3 * 4 + -3k * 4) = 34 + -1k (12 + -12k) = 34 + -1k Solving 12 + -12k = 34 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 12 + -12k + k = 34 + -1k + k Combine like terms: -12k + k = -11k 12 + -11k = 34 + -1k + k Combine like terms: -1k + k = 0 12 + -11k = 34 + 0 12 + -11k = 34 Add '-12' to each side of the equation. 12 + -12 + -11k = 34 + -12 Combine like terms: 12 + -12 = 0 0 + -11k = 34 + -12 -11k = 34 + -12 Combine like terms: 34 + -12 = 22 -11k = 22 Divide each side by '-11'. k = -2 Simplifying k = -2
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