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Simplifying -4(-1 + -8k) = 33 + 3k (-1 * -4 + -8k * -4) = 33 + 3k (4 + 32k) = 33 + 3k Solving 4 + 32k = 33 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 4 + 32k + -3k = 33 + 3k + -3k Combine like terms: 32k + -3k = 29k 4 + 29k = 33 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + 29k = 33 + 0 4 + 29k = 33 Add '-4' to each side of the equation. 4 + -4 + 29k = 33 + -4 Combine like terms: 4 + -4 = 0 0 + 29k = 33 + -4 29k = 33 + -4 Combine like terms: 33 + -4 = 29 29k = 29 Divide each side by '29'. k = 1 Simplifying k = 1
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