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Simplifying 27 = 4.5z + 12 Reorder the terms: 27 = 12 + 4.5z Solving 27 = 12 + 4.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4.5z' to each side of the equation. 27 + -4.5z = 12 + 4.5z + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 27 + -4.5z = 12 + 0.0 27 + -4.5z = 12 Add '-27' to each side of the equation. 27 + -27 + -4.5z = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -4.5z = 12 + -27 -4.5z = 12 + -27 Combine like terms: 12 + -27 = -15 -4.5z = -15 Divide each side by '-4.5'. z = 3.333333333 Simplifying z = 3.333333333
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