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Simplifying -3z + -8 = 2z + -12 Reorder the terms: -8 + -3z = 2z + -12 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 = -4 -5z = -4 Divide each side by '-5'. z = 0.8 Simplifying z = 0.8
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