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Simplifying 2.5(2 + z) = 5(z + 2.5) (2 * 2.5 + z * 2.5) = 5(z + 2.5) (5 + 2.5z) = 5(z + 2.5) Reorder the terms: 5 + 2.5z = 5(2.5 + z) 5 + 2.5z = (2.5 * 5 + z * 5) 5 + 2.5z = (12.5 + 5z) Solving 5 + 2.5z = 12.5 + 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. 5 + 2.5z + -5z = 12.5 + 5z + -5z Combine like terms: 2.5z + -5z = -2.5z 5 + -2.5z = 12.5 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + -2.5z = 12.5 + 0 5 + -2.5z = 12.5 Add '-5' to each side of the equation. 5 + -5 + -2.5z = 12.5 + -5 Combine like terms: 5 + -5 = 0 0 + -2.5z = 12.5 + -5 -2.5z = 12.5 + -5 Combine like terms: 12.5 + -5 = 7.5 -2.5z = 7.5 Divide each side by '-2.5'. z = -3 Simplifying z = -3
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