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Simplifying 9z + 12 = 6z + (-30) Reorder the terms: 12 + 9z = 6z + (-30) 12 + 9z = 6z + -30 Reorder the terms: 12 + 9z = -30 + 6z Solving 12 + 9z = -30 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + 9z + -6z = -30 + 6z + -6z Combine like terms: 9z + -6z = 3z 12 + 3z = -30 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + 3z = -30 + 0 12 + 3z = -30 Add '-12' to each side of the equation. 12 + -12 + 3z = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = -30 + -12 3z = -30 + -12 Combine like terms: -30 + -12 = -42 3z = -42 Divide each side by '3'. z = -14 Simplifying z = -14
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