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Simplifying 5k + 122 = 16k + 12 Reorder the terms: 122 + 5k = 16k + 12 Reorder the terms: 122 + 5k = 12 + 16k Solving 122 + 5k = 12 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 122 + 5k + -16k = 12 + 16k + -16k Combine like terms: 5k + -16k = -11k 122 + -11k = 12 + 16k + -16k Combine like terms: 16k + -16k = 0 122 + -11k = 12 + 0 122 + -11k = 12 Add '-122' to each side of the equation. 122 + -122 + -11k = 12 + -122 Combine like terms: 122 + -122 = 0 0 + -11k = 12 + -122 -11k = 12 + -122 Combine like terms: 12 + -122 = -110 -11k = -110 Divide each side by '-11'. k = 10 Simplifying k = 10
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