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Simplifying 4k + -2(1 + -4k) = 94 4k + (1 * -2 + -4k * -2) = 94 4k + (-2 + 8k) = 94 Reorder the terms: -2 + 4k + 8k = 94 Combine like terms: 4k + 8k = 12k -2 + 12k = 94 Solving -2 + 12k = 94 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 = 94 + 2 Combine like terms: -2 + 2 = 0 0 + 12k = 94 + 2 12k = 94 + 2 Combine like terms: 94 + 2 = 96 12k = 96 Divide each side by '12'. k = 8 Simplifying k = 8
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