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Simplifying 11k + -1(3k + -8) * 4 = 2 Reorder the terms: 11k + -1(-8 + 3k) * 4 = 2 Reorder the terms for easier multiplication: 11k + -1 * 4(-8 + 3k) = 2 Multiply -1 * 4 11k + -4(-8 + 3k) = 2 11k + (-8 * -4 + 3k * -4) = 2 11k + (32 + -12k) = 2 Reorder the terms: 32 + 11k + -12k = 2 Combine like terms: 11k + -12k = -1k 32 + -1k = 2 Solving 32 + -1k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1k = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -1k = 2 + -32 -1k = 2 + -32 Combine like terms: 2 + -32 = -30 -1k = -30 Divide each side by '-1'. k = 30 Simplifying k = 30
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