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Simplifying 2.5(2z + 2.5) = 5(z + 2.5) Reorder the terms: 2.5(2.5 + 2z) = 5(z + 2.5) (2.5 * 2.5 + 2z * 2.5) = 5(z + 2.5) (6.25 + 5z) = 5(z + 2.5) Reorder the terms: 6.25 + 5z = 5(2.5 + z) 6.25 + 5z = (2.5 * 5 + z * 5) 6.25 + 5z = (12.5 + 5z) Add '-5z' to each side of the equation. 6.25 + 5z + -5z = 12.5 + 5z + -5z Combine like terms: 5z + -5z = 0 6.25 + 0 = 12.5 + 5z + -5z 6.25 = 12.5 + 5z + -5z Combine like terms: 5z + -5z = 0 6.25 = 12.5 + 0 6.25 = 12.5 Solving 6.25 = 12.5 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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