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Simplifying 5k + 12 = 2k + -9 Reorder the terms: 12 + 5k = 2k + -9 Reorder the terms: 12 + 5k = -9 + 2k Solving 12 + 5k = -9 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 12 + 5k + -2k = -9 + 2k + -2k Combine like terms: 5k + -2k = 3k 12 + 3k = -9 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 3k = -9 + 0 12 + 3k = -9 Add '-12' to each side of the equation. 12 + -12 + 3k = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = -9 + -12 3k = -9 + -12 Combine like terms: -9 + -12 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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