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Simplifying k2 + -14k + 28 = k2 + -12k + 36 Reorder the terms: 28 + -14k + k2 = k2 + -12k + 36 Reorder the terms: 28 + -14k + k2 = 36 + -12k + k2 Add '-1k2' to each side of the equation. 28 + -14k + k2 + -1k2 = 36 + -12k + k2 + -1k2 Combine like terms: k2 + -1k2 = 0 28 + -14k + 0 = 36 + -12k + k2 + -1k2 28 + -14k = 36 + -12k + k2 + -1k2 Combine like terms: k2 + -1k2 = 0 28 + -14k = 36 + -12k + 0 28 + -14k = 36 + -12k Solving 28 + -14k = 36 + -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. 28 + -14k + 12k = 36 + -12k + 12k Combine like terms: -14k + 12k = -2k 28 + -2k = 36 + -12k + 12k Combine like terms: -12k + 12k = 0 28 + -2k = 36 + 0 28 + -2k = 36 Add '-28' to each side of the equation. 28 + -28 + -2k = 36 + -28 Combine like terms: 28 + -28 = 0 0 + -2k = 36 + -28 -2k = 36 + -28 Combine like terms: 36 + -28 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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