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Simplifying 9z + -54 = 3z + 12 Reorder the terms: -54 + 9z = 3z + 12 Reorder the terms: -54 + 9z = 12 + 3z Solving -54 + 9z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -54 + 9z + -3z = 12 + 3z + -3z Combine like terms: 9z + -3z = 6z -54 + 6z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 -54 + 6z = 12 + 0 -54 + 6z = 12 Add '54' to each side of the equation. -54 + 54 + 6z = 12 + 54 Combine like terms: -54 + 54 = 0 0 + 6z = 12 + 54 6z = 12 + 54 Combine like terms: 12 + 54 = 66 6z = 66 Divide each side by '6'. z = 11 Simplifying z = 11
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