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