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Simplifying 5z + 12 = 9z + 18 Reorder the terms: 12 + 5z = 9z + 18 Reorder the terms: 12 + 5z = 18 + 9z Solving 12 + 5z = 18 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 12 + 5z + -9z = 18 + 9z + -9z Combine like terms: 5z + -9z = -4z 12 + -4z = 18 + 9z + -9z Combine like terms: 9z + -9z = 0 12 + -4z = 18 + 0 12 + -4z = 18 Add '-12' to each side of the equation. 12 + -12 + -4z = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = 18 + -12 -4z = 18 + -12 Combine like terms: 18 + -12 = 6 -4z = 6 Divide each side by '-4'. z = -1.5 Simplifying z = -1.5
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