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Simplifying 3z + 8 = -2z + 13 Reorder the terms: 8 + 3z = -2z + 13 Reorder the terms: 8 + 3z = 13 + -2z Solving 8 + 3z = 13 + -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 = 13 + -2z + 2z Combine like terms: 3z + 2z = 5z 8 + 5z = 13 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 5z = 13 + 0 8 + 5z = 13 Add '-8' to each side of the equation. 8 + -8 + 5z = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 13 + -8 5z = 13 + -8 Combine like terms: 13 + -8 = 5 5z = 5 Divide each side by '5'. z = 1 Simplifying z = 1
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