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Simplifying 2.25(2z + 8) = 5z + -3 Reorder the terms: 2.25(8 + 2z) = 5z + -3 (8 * 2.25 + 2z * 2.25) = 5z + -3 (18 + 4.5z) = 5z + -3 Reorder the terms: 18 + 4.5z = -3 + 5z Solving 18 + 4.5z = -3 + 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. 18 + 4.5z + -5z = -3 + 5z + -5z Combine like terms: 4.5z + -5z = -0.5z 18 + -0.5z = -3 + 5z + -5z Combine like terms: 5z + -5z = 0 18 + -0.5z = -3 + 0 18 + -0.5z = -3 Add '-18' to each side of the equation. 18 + -18 + -0.5z = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -0.5z = -3 + -18 -0.5z = -3 + -18 Combine like terms: -3 + -18 = -21 -0.5z = -21 Divide each side by '-0.5'. z = 42 Simplifying z = 42
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