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Simplifying 3k + -2k + 12 + 5r = 0 Reorder the terms: 12 + 3k + -2k + 5r = 0 Combine like terms: 3k + -2k = 1k 12 + 1k + 5r = 0 Solving 12 + 1k + 5r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 1k + -12 + 5r = 0 + -12 Reorder the terms: 12 + -12 + 1k + 5r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1k + 5r = 0 + -12 1k + 5r = 0 + -12 Combine like terms: 0 + -12 = -12 1k + 5r = -12 Add '-5r' to each side of the equation. 1k + 5r + -5r = -12 + -5r Combine like terms: 5r + -5r = 0 1k + 0 = -12 + -5r 1k = -12 + -5r Divide each side by '1'. k = -12 + -5r Simplifying k = -12 + -5r
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