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Simplifying -3z + 8 = -12 + 2z Reorder the terms: 8 + -3z = -12 + 2z Solving 8 + -3z = -12 + 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. 8 + -3z + -2z = -12 + 2z + -2z Combine like terms: -3z + -2z = -5z 8 + -5z = -12 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + -5z = -12 + 0 8 + -5z = -12 Add '-8' to each side of the equation. 8 + -8 + -5z = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5z = -12 + -8 -5z = -12 + -8 Combine like terms: -12 + -8 = -20 -5z = -20 Divide each side by '-5'. z = 4 Simplifying z = 4
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