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Simplifying 64 = 4(1 + -3k) 64 = (1 * 4 + -3k * 4) 64 = (4 + -12k) Solving 64 = 4 + -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. 64 + 12k = 4 + -12k + 12k Combine like terms: -12k + 12k = 0 64 + 12k = 4 + 0 64 + 12k = 4 Add '-64' to each side of the equation. 64 + -64 + 12k = 4 + -64 Combine like terms: 64 + -64 = 0 0 + 12k = 4 + -64 12k = 4 + -64 Combine like terms: 4 + -64 = -60 12k = -60 Divide each side by '12'. k = -5 Simplifying k = -5
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