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Simplifying -12 + 25 = 4.5z + 12 + (-12) Combine like terms: -12 + 25 = 13 13 = 4.5z + 12 + (-12) 13 = 4.5z + 12 + -12 Reorder the terms: 13 = 12 + -12 + 4.5z Combine like terms: 12 + -12 = 0 13 = 0 + 4.5z 13 = 4.5z Solving 13 = 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. 13 + -4.5z = 4.5z + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 13 + -4.5z = 0.0 Add '-13' to each side of the equation. 13 + -13 + -4.5z = 0.0 + -13 Combine like terms: 13 + -13 = 0 0 + -4.5z = 0.0 + -13 -4.5z = 0.0 + -13 Combine like terms: 0.0 + -13 = -13 -4.5z = -13 Divide each side by '-4.5'. z = 2.888888889 Simplifying z = 2.888888889
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