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