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Simplifying 9z + 4 + 4z + 7 = 12z + 3 Reorder the terms: 4 + 7 + 9z + 4z = 12z + 3 Combine like terms: 4 + 7 = 11 11 + 9z + 4z = 12z + 3 Combine like terms: 9z + 4z = 13z 11 + 13z = 12z + 3 Reorder the terms: 11 + 13z = 3 + 12z Solving 11 + 13z = 3 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 11 + 13z + -12z = 3 + 12z + -12z Combine like terms: 13z + -12z = 1z 11 + 1z = 3 + 12z + -12z Combine like terms: 12z + -12z = 0 11 + 1z = 3 + 0 11 + 1z = 3 Add '-11' to each side of the equation. 11 + -11 + 1z = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 3 + -11 1z = 3 + -11 Combine like terms: 3 + -11 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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