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Simplifying -33 + 4k = -2k + -8 + -5 Reorder the terms: -33 + 4k = -8 + -5 + -2k Combine like terms: -8 + -5 = -13 -33 + 4k = -13 + -2k Solving -33 + 4k = -13 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -33 + 4k + 2k = -13 + -2k + 2k Combine like terms: 4k + 2k = 6k -33 + 6k = -13 + -2k + 2k Combine like terms: -2k + 2k = 0 -33 + 6k = -13 + 0 -33 + 6k = -13 Add '33' to each side of the equation. -33 + 33 + 6k = -13 + 33 Combine like terms: -33 + 33 = 0 0 + 6k = -13 + 33 6k = -13 + 33 Combine like terms: -13 + 33 = 20 6k = 20 Divide each side by '6'. k = 3.333333333 Simplifying k = 3.333333333
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