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Simplifying -5k + 123 = 6k + 57 Reorder the terms: 123 + -5k = 6k + 57 Reorder the terms: 123 + -5k = 57 + 6k Solving 123 + -5k = 57 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 123 + -5k + -6k = 57 + 6k + -6k Combine like terms: -5k + -6k = -11k 123 + -11k = 57 + 6k + -6k Combine like terms: 6k + -6k = 0 123 + -11k = 57 + 0 123 + -11k = 57 Add '-123' to each side of the equation. 123 + -123 + -11k = 57 + -123 Combine like terms: 123 + -123 = 0 0 + -11k = 57 + -123 -11k = 57 + -123 Combine like terms: 57 + -123 = -66 -11k = -66 Divide each side by '-11'. k = 6 Simplifying k = 6
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