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Simplifying 7 + -12z + 16 = 9z + 54 + 3 Reorder the terms: 7 + 16 + -12z = 9z + 54 + 3 Combine like terms: 7 + 16 = 23 23 + -12z = 9z + 54 + 3 Reorder the terms: 23 + -12z = 54 + 3 + 9z Combine like terms: 54 + 3 = 57 23 + -12z = 57 + 9z Solving 23 + -12z = 57 + 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. 23 + -12z + -9z = 57 + 9z + -9z Combine like terms: -12z + -9z = -21z 23 + -21z = 57 + 9z + -9z Combine like terms: 9z + -9z = 0 23 + -21z = 57 + 0 23 + -21z = 57 Add '-23' to each side of the equation. 23 + -23 + -21z = 57 + -23 Combine like terms: 23 + -23 = 0 0 + -21z = 57 + -23 -21z = 57 + -23 Combine like terms: 57 + -23 = 34 -21z = 34 Divide each side by '-21'. z = -1.619047619 Simplifying z = -1.619047619
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