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Simplifying 2 = 4(3k + -8) Reorder the terms: 2 = 4(-8 + 3k) 2 = (-8 * 4 + 3k * 4) 2 = (-32 + 12k) Solving 2 = -32 + 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. 2 + -12k = -32 + 12k + -12k Combine like terms: 12k + -12k = 0 2 + -12k = -32 + 0 2 + -12k = -32 Add '-2' to each side of the equation. 2 + -2 + -12k = -32 + -2 Combine like terms: 2 + -2 = 0 0 + -12k = -32 + -2 -12k = -32 + -2 Combine like terms: -32 + -2 = -34 -12k = -34 Divide each side by '-12'. k = 2.833333333 Simplifying k = 2.833333333
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