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Simplifying -5z + 32 = 3z Reorder the terms: 32 + -5z = 3z Solving 32 + -5z = 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. 32 + -5z + -3z = 3z + -3z Combine like terms: -5z + -3z = -8z 32 + -8z = 3z + -3z Combine like terms: 3z + -3z = 0 32 + -8z = 0 Add '-32' to each side of the equation. 32 + -32 + -8z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -8z = 0 + -32 -8z = 0 + -32 Combine like terms: 0 + -32 = -32 -8z = -32 Divide each side by '-8'. z = 4 Simplifying z = 4
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