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Simplifying 12z + -18 = 12 + -3z Reorder the terms: -18 + 12z = 12 + -3z Solving -18 + 12z = 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. -18 + 12z + 3z = 12 + -3z + 3z Combine like terms: 12z + 3z = 15z -18 + 15z = 12 + -3z + 3z Combine like terms: -3z + 3z = 0 -18 + 15z = 12 + 0 -18 + 15z = 12 Add '18' to each side of the equation. -18 + 18 + 15z = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 15z = 12 + 18 15z = 12 + 18 Combine like terms: 12 + 18 = 30 15z = 30 Divide each side by '15'. z = 2 Simplifying z = 2
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