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Simplifying 3z + 8 = 8z + -38 Reorder the terms: 8 + 3z = 8z + -38 Reorder the terms: 8 + 3z = -38 + 8z Solving 8 + 3z = -38 + 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. 8 + 3z + -8z = -38 + 8z + -8z Combine like terms: 3z + -8z = -5z 8 + -5z = -38 + 8z + -8z Combine like terms: 8z + -8z = 0 8 + -5z = -38 + 0 8 + -5z = -38 Add '-8' to each side of the equation. 8 + -8 + -5z = -38 + -8 Combine like terms: 8 + -8 = 0 0 + -5z = -38 + -8 -5z = -38 + -8 Combine like terms: -38 + -8 = -46 -5z = -46 Divide each side by '-5'. z = 9.2 Simplifying z = 9.2
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