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Simplifying -3(4k + -1) = 51 Reorder the terms: -3(-1 + 4k) = 51 (-1 * -3 + 4k * -3) = 51 (3 + -12k) = 51 Solving 3 + -12k = 51 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -12k = 51 + -3 Combine like terms: 3 + -3 = 0 0 + -12k = 51 + -3 -12k = 51 + -3 Combine like terms: 51 + -3 = 48 -12k = 48 Divide each side by '-12'. k = -4 Simplifying k = -4
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