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Simplifying 3z + 5 = 8z + -3 Reorder the terms: 5 + 3z = 8z + -3 Reorder the terms: 5 + 3z = -3 + 8z Solving 5 + 3z = -3 + 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. 5 + 3z + -8z = -3 + 8z + -8z Combine like terms: 3z + -8z = -5z 5 + -5z = -3 + 8z + -8z Combine like terms: 8z + -8z = 0 5 + -5z = -3 + 0 5 + -5z = -3 Add '-5' to each side of the equation. 5 + -5 + -5z = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -5z = -3 + -5 -5z = -3 + -5 Combine like terms: -3 + -5 = -8 -5z = -8 Divide each side by '-5'. z = 1.6 Simplifying z = 1.6
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