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Simplifying 10k + -31 = 11k + 76 Reorder the terms: -31 + 10k = 11k + 76 Reorder the terms: -31 + 10k = 76 + 11k Solving -31 + 10k = 76 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -31 + 10k + -11k = 76 + 11k + -11k Combine like terms: 10k + -11k = -1k -31 + -1k = 76 + 11k + -11k Combine like terms: 11k + -11k = 0 -31 + -1k = 76 + 0 -31 + -1k = 76 Add '31' to each side of the equation. -31 + 31 + -1k = 76 + 31 Combine like terms: -31 + 31 = 0 0 + -1k = 76 + 31 -1k = 76 + 31 Combine like terms: 76 + 31 = 107 -1k = 107 Divide each side by '-1'. k = -107 Simplifying k = -107
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