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Simplifying 5k + 7 = 5(k + 1) Reorder the terms: 7 + 5k = 5(k + 1) Reorder the terms: 7 + 5k = 5(1 + k) 7 + 5k = (1 * 5 + k * 5) 7 + 5k = (5 + 5k) Add '-5k' to each side of the equation. 7 + 5k + -5k = 5 + 5k + -5k Combine like terms: 5k + -5k = 0 7 + 0 = 5 + 5k + -5k 7 = 5 + 5k + -5k Combine like terms: 5k + -5k = 0 7 = 5 + 0 7 = 5 Solving 7 = 5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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