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Simplifying 3z + -12 = 13 + 8z Reorder the terms: -12 + 3z = 13 + 8z Solving -12 + 3z = 13 + 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 + 3z + -8z = 13 + 8z + -8z Combine like terms: 3z + -8z = -5z -12 + -5z = 13 + 8z + -8z Combine like terms: 8z + -8z = 0 -12 + -5z = 13 + 0 -12 + -5z = 13 Add '12' to each side of the equation. -12 + 12 + -5z = 13 + 12 Combine like terms: -12 + 12 = 0 0 + -5z = 13 + 12 -5z = 13 + 12 Combine like terms: 13 + 12 = 25 -5z = 25 Divide each side by '-5'. z = -5 Simplifying z = -5
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