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Simplifying k + 9 = 28k + 63 Reorder the terms: 9 + k = 28k + 63 Reorder the terms: 9 + k = 63 + 28k Solving 9 + k = 63 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. 9 + k + -28k = 63 + 28k + -28k Combine like terms: k + -28k = -27k 9 + -27k = 63 + 28k + -28k Combine like terms: 28k + -28k = 0 9 + -27k = 63 + 0 9 + -27k = 63 Add '-9' to each side of the equation. 9 + -9 + -27k = 63 + -9 Combine like terms: 9 + -9 = 0 0 + -27k = 63 + -9 -27k = 63 + -9 Combine like terms: 63 + -9 = 54 -27k = 54 Divide each side by '-27'. k = -2 Simplifying k = -2
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