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Simplifying -12 + -4k = k + 33 Reorder the terms: -12 + -4k = 33 + k Solving -12 + -4k = 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. -12 + -4k + -1k = 33 + k + -1k Combine like terms: -4k + -1k = -5k -12 + -5k = 33 + k + -1k Combine like terms: k + -1k = 0 -12 + -5k = 33 + 0 -12 + -5k = 33 Add '12' to each side of the equation. -12 + 12 + -5k = 33 + 12 Combine like terms: -12 + 12 = 0 0 + -5k = 33 + 12 -5k = 33 + 12 Combine like terms: 33 + 12 = 45 -5k = 45 Divide each side by '-5'. k = -9 Simplifying k = -9
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