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Simplifying 2(1 + 6k) = 2 + 8(5 + 3) (1 * 2 + 6k * 2) = 2 + 8(5 + 3) (2 + 12k) = 2 + 8(5 + 3) Combine like terms: 5 + 3 = 8 2 + 12k = 2 + 8(8) Multiply 8 * 8 2 + 12k = 2 + 64 Combine like terms: 2 + 64 = 66 2 + 12k = 66 Solving 2 + 12k = 66 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12k = 66 + -2 Combine like terms: 2 + -2 = 0 0 + 12k = 66 + -2 12k = 66 + -2 Combine like terms: 66 + -2 = 64 12k = 64 Divide each side by '12'. k = 5.333333333 Simplifying k = 5.333333333
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