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Simplifying -33 = -5k + 13k Combine like terms: -5k + 13k = 8k -33 = 8k Solving -33 = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -33 + -8k = 8k + -8k Combine like terms: 8k + -8k = 0 -33 + -8k = 0 Add '33' to each side of the equation. -33 + 33 + -8k = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -8k = 0 + 33 -8k = 0 + 33 Combine like terms: 0 + 33 = 33 -8k = 33 Divide each side by '-8'. k = -4.125 Simplifying k = -4.125
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