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Simplifying 3 + 3z + -2 = 8z + 5 + -32 Reorder the terms: 3 + -2 + 3z = 8z + 5 + -32 Combine like terms: 3 + -2 = 1 1 + 3z = 8z + 5 + -32 Reorder the terms: 1 + 3z = 5 + -32 + 8z Combine like terms: 5 + -32 = -27 1 + 3z = -27 + 8z Solving 1 + 3z = -27 + 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. 1 + 3z + -8z = -27 + 8z + -8z Combine like terms: 3z + -8z = -5z 1 + -5z = -27 + 8z + -8z Combine like terms: 8z + -8z = 0 1 + -5z = -27 + 0 1 + -5z = -27 Add '-1' to each side of the equation. 1 + -1 + -5z = -27 + -1 Combine like terms: 1 + -1 = 0 0 + -5z = -27 + -1 -5z = -27 + -1 Combine like terms: -27 + -1 = -28 -5z = -28 Divide each side by '-5'. z = 5.6 Simplifying z = 5.6
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