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Simplifying 2z + -6 = 12 + -1z Reorder the terms: -6 + 2z = 12 + -1z Solving -6 + 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. -6 + 2z + z = 12 + -1z + z Combine like terms: 2z + z = 3z -6 + 3z = 12 + -1z + z Combine like terms: -1z + z = 0 -6 + 3z = 12 + 0 -6 + 3z = 12 Add '6' to each side of the equation. -6 + 6 + 3z = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3z = 12 + 6 3z = 12 + 6 Combine like terms: 12 + 6 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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