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Simplifying 2.5(2z + 5) = (z + 2.5) Reorder the terms: 2.5(5 + 2z) = (z + 2.5) (5 * 2.5 + 2z * 2.5) = (z + 2.5) (12.5 + 5z) = (z + 2.5) Reorder the terms: 12.5 + 5z = (2.5 + z) Remove parenthesis around (2.5 + z) 12.5 + 5z = 2.5 + z Solving 12.5 + 5z = 2.5 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 12.5 + 5z + -1z = 2.5 + z + -1z Combine like terms: 5z + -1z = 4z 12.5 + 4z = 2.5 + z + -1z Combine like terms: z + -1z = 0 12.5 + 4z = 2.5 + 0 12.5 + 4z = 2.5 Add '-12.5' to each side of the equation. 12.5 + -12.5 + 4z = 2.5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 4z = 2.5 + -12.5 4z = 2.5 + -12.5 Combine like terms: 2.5 + -12.5 = -10 4z = -10 Divide each side by '4'. z = -2.5 Simplifying z = -2.5
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