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Simplifying 8z + -5 = 5z + 13 Reorder the terms: -5 + 8z = 5z + 13 Reorder the terms: -5 + 8z = 13 + 5z Solving -5 + 8z = 13 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -5 + 8z + -5z = 13 + 5z + -5z Combine like terms: 8z + -5z = 3z -5 + 3z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 -5 + 3z = 13 + 0 -5 + 3z = 13 Add '5' to each side of the equation. -5 + 5 + 3z = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 13 + 5 3z = 13 + 5 Combine like terms: 13 + 5 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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