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Simplifying 2.5(z + 5) = 5(z + 2.5) Reorder the terms: 2.5(5 + z) = 5(z + 2.5) (5 * 2.5 + z * 2.5) = 5(z + 2.5) (12.5 + 2.5z) = 5(z + 2.5) Reorder the terms: 12.5 + 2.5z = 5(2.5 + z) 12.5 + 2.5z = (2.5 * 5 + z * 5) 12.5 + 2.5z = (12.5 + 5z) Add '-12.5' to each side of the equation. 12.5 + -12.5 + 2.5z = 12.5 + -12.5 + 5z Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 2.5z = 12.5 + -12.5 + 5z 2.5z = 12.5 + -12.5 + 5z Combine like terms: 12.5 + -12.5 = 0.0 2.5z = 0.0 + 5z 2.5z = 5z Solving 2.5z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2.5z + -5z = 5z + -5z Combine like terms: 2.5z + -5z = -2.5z -2.5z = 5z + -5z Combine like terms: 5z + -5z = 0 -2.5z = 0 Divide each side by '-2.5'. z = 0 Simplifying z = 0
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