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Simplifying 2z + -3 = 12 + -1z Reorder the terms: -3 + 2z = 12 + -1z Solving -3 + 2z = 12 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -3 + 2z + z = 12 + -1z + z Combine like terms: 2z + z = 3z -3 + 3z = 12 + -1z + z Combine like terms: -1z + z = 0 -3 + 3z = 12 + 0 -3 + 3z = 12 Add '3' to each side of the equation. -3 + 3 + 3z = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 12 + 3 3z = 12 + 3 Combine like terms: 12 + 3 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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