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Simplifying 8z + -12 = 13 + 3z Reorder the terms: -12 + 8z = 13 + 3z Solving -12 + 8z = 13 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -12 + 8z + -3z = 13 + 3z + -3z Combine like terms: 8z + -3z = 5z -12 + 5z = 13 + 3z + -3z Combine like terms: 3z + -3z = 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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