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Simplifying -6k + -2 = 30k + -60 Reorder the terms: -2 + -6k = 30k + -60 Reorder the terms: -2 + -6k = -60 + 30k Solving -2 + -6k = -60 + 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. -2 + -6k + -30k = -60 + 30k + -30k Combine like terms: -6k + -30k = -36k -2 + -36k = -60 + 30k + -30k Combine like terms: 30k + -30k = 0 -2 + -36k = -60 + 0 -2 + -36k = -60 Add '2' to each side of the equation. -2 + 2 + -36k = -60 + 2 Combine like terms: -2 + 2 = 0 0 + -36k = -60 + 2 -36k = -60 + 2 Combine like terms: -60 + 2 = -58 -36k = -58 Divide each side by '-36'. k = 1.611111111 Simplifying k = 1.611111111
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