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Simplifying 5 + 2z + -1 = 9z + 32 + -3z Reorder the terms: 5 + -1 + 2z = 9z + 32 + -3z Combine like terms: 5 + -1 = 4 4 + 2z = 9z + 32 + -3z Reorder the terms: 4 + 2z = 32 + 9z + -3z Combine like terms: 9z + -3z = 6z 4 + 2z = 32 + 6z Solving 4 + 2z = 32 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 4 + 2z + -6z = 32 + 6z + -6z Combine like terms: 2z + -6z = -4z 4 + -4z = 32 + 6z + -6z Combine like terms: 6z + -6z = 0 4 + -4z = 32 + 0 4 + -4z = 32 Add '-4' to each side of the equation. 4 + -4 + -4z = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -4z = 32 + -4 -4z = 32 + -4 Combine like terms: 32 + -4 = 28 -4z = 28 Divide each side by '-4'. z = -7 Simplifying z = -7
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