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Simplifying 107 + 38k = 10k + 2 Reorder the terms: 107 + 38k = 2 + 10k Solving 107 + 38k = 2 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 107 + 38k + -10k = 2 + 10k + -10k Combine like terms: 38k + -10k = 28k 107 + 28k = 2 + 10k + -10k Combine like terms: 10k + -10k = 0 107 + 28k = 2 + 0 107 + 28k = 2 Add '-107' to each side of the equation. 107 + -107 + 28k = 2 + -107 Combine like terms: 107 + -107 = 0 0 + 28k = 2 + -107 28k = 2 + -107 Combine like terms: 2 + -107 = -105 28k = -105 Divide each side by '28'. k = -3.75 Simplifying k = -3.75
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