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Simplifying -6k + -24 = 30k + -2 Reorder the terms: -24 + -6k = 30k + -2 Reorder the terms: -24 + -6k = -2 + 30k Solving -24 + -6k = -2 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -24 + -6k + -30k = -2 + 30k + -30k Combine like terms: -6k + -30k = -36k -24 + -36k = -2 + 30k + -30k Combine like terms: 30k + -30k = 0 -24 + -36k = -2 + 0 -24 + -36k = -2 Add '24' to each side of the equation. -24 + 24 + -36k = -2 + 24 Combine like terms: -24 + 24 = 0 0 + -36k = -2 + 24 -36k = -2 + 24 Combine like terms: -2 + 24 = 22 -36k = 22 Divide each side by '-36'. k = -0.6111111111 Simplifying k = -0.6111111111
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