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Simplifying 0.9z + 8.25 = 1.5(2 + 2z) Reorder the terms: 8.25 + 0.9z = 1.5(2 + 2z) 8.25 + 0.9z = (2 * 1.5 + 2z * 1.5) 8.25 + 0.9z = (3 + 3z) Solving 8.25 + 0.9z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8.25 + 0.9z + -3z = 3 + 3z + -3z Combine like terms: 0.9z + -3z = -2.1z 8.25 + -2.1z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 8.25 + -2.1z = 3 + 0 8.25 + -2.1z = 3 Add '-8.25' to each side of the equation. 8.25 + -8.25 + -2.1z = 3 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -2.1z = 3 + -8.25 -2.1z = 3 + -8.25 Combine like terms: 3 + -8.25 = -5.25 -2.1z = -5.25 Divide each side by '-2.1'. z = 2.5 Simplifying z = 2.5
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