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Simplifying 12z + -45 = 3z Reorder the terms: -45 + 12z = 3z Solving -45 + 12z = 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. -45 + 12z + -3z = 3z + -3z Combine like terms: 12z + -3z = 9z -45 + 9z = 3z + -3z Combine like terms: 3z + -3z = 0 -45 + 9z = 0 Add '45' to each side of the equation. -45 + 45 + 9z = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 9z = 0 + 45 9z = 0 + 45 Combine like terms: 0 + 45 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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