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Simplifying 16 + 5k = 8k + -5(8 + -5k) 16 + 5k = 8k + (8 * -5 + -5k * -5) 16 + 5k = 8k + (-40 + 25k) Reorder the terms: 16 + 5k = -40 + 8k + 25k Combine like terms: 8k + 25k = 33k 16 + 5k = -40 + 33k Solving 16 + 5k = -40 + 33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33k' to each side of the equation. 16 + 5k + -33k = -40 + 33k + -33k Combine like terms: 5k + -33k = -28k 16 + -28k = -40 + 33k + -33k Combine like terms: 33k + -33k = 0 16 + -28k = -40 + 0 16 + -28k = -40 Add '-16' to each side of the equation. 16 + -16 + -28k = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -28k = -40 + -16 -28k = -40 + -16 Combine like terms: -40 + -16 = -56 -28k = -56 Divide each side by '-28'. k = 2 Simplifying k = 2
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