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Simplifying -4(12k + 4) = 33 + k Reorder the terms: -4(4 + 12k) = 33 + k (4 * -4 + 12k * -4) = 33 + k (-16 + -48k) = 33 + k Solving -16 + -48k = 33 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -16 + -48k + -1k = 33 + k + -1k Combine like terms: -48k + -1k = -49k -16 + -49k = 33 + k + -1k Combine like terms: k + -1k = 0 -16 + -49k = 33 + 0 -16 + -49k = 33 Add '16' to each side of the equation. -16 + 16 + -49k = 33 + 16 Combine like terms: -16 + 16 = 0 0 + -49k = 33 + 16 -49k = 33 + 16 Combine like terms: 33 + 16 = 49 -49k = 49 Divide each side by '-49'. k = -1 Simplifying k = -1
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