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Simplifying 2 + -3k = 12k + -60 Reorder the terms: 2 + -3k = -60 + 12k Solving 2 + -3k = -60 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 2 + -3k + -12k = -60 + 12k + -12k Combine like terms: -3k + -12k = -15k 2 + -15k = -60 + 12k + -12k Combine like terms: 12k + -12k = 0 2 + -15k = -60 + 0 2 + -15k = -60 Add '-2' to each side of the equation. 2 + -2 + -15k = -60 + -2 Combine like terms: 2 + -2 = 0 0 + -15k = -60 + -2 -15k = -60 + -2 Combine like terms: -60 + -2 = -62 -15k = -62 Divide each side by '-15'. k = 4.133333333 Simplifying k = 4.133333333
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