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Simplifying 58 + k = 12k + 3 Reorder the terms: 58 + k = 3 + 12k Solving 58 + k = 3 + 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. 58 + k + -12k = 3 + 12k + -12k Combine like terms: k + -12k = -11k 58 + -11k = 3 + 12k + -12k Combine like terms: 12k + -12k = 0 58 + -11k = 3 + 0 58 + -11k = 3 Add '-58' to each side of the equation. 58 + -58 + -11k = 3 + -58 Combine like terms: 58 + -58 = 0 0 + -11k = 3 + -58 -11k = 3 + -58 Combine like terms: 3 + -58 = -55 -11k = -55 Divide each side by '-11'. k = 5 Simplifying k = 5
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