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Simplifying 3z + 12 + 4z + 90 = 189 Reorder the terms: 12 + 90 + 3z + 4z = 189 Combine like terms: 12 + 90 = 102 102 + 3z + 4z = 189 Combine like terms: 3z + 4z = 7z 102 + 7z = 189 Solving 102 + 7z = 189 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 7z = 189 + -102 Combine like terms: 102 + -102 = 0 0 + 7z = 189 + -102 7z = 189 + -102 Combine like terms: 189 + -102 = 87 7z = 87 Divide each side by '7'. z = 12.42857143 Simplifying z = 12.42857143
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