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Simplifying 3z + -12 = -2z + 8 Reorder the terms: -12 + 3z = -2z + 8 Reorder the terms: -12 + 3z = 8 + -2z Solving -12 + 3z = 8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -12 + 3z + 2z = 8 + -2z + 2z Combine like terms: 3z + 2z = 5z -12 + 5z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 -12 + 5z = 8 + 0 -12 + 5z = 8 Add '12' to each side of the equation. -12 + 12 + 5z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5z = 8 + 12 5z = 8 + 12 Combine like terms: 8 + 12 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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