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Simplifying 3 + 2z + -1 = 9z + 21 + -5z Reorder the terms: 3 + -1 + 2z = 9z + 21 + -5z Combine like terms: 3 + -1 = 2 2 + 2z = 9z + 21 + -5z Reorder the terms: 2 + 2z = 21 + 9z + -5z Combine like terms: 9z + -5z = 4z 2 + 2z = 21 + 4z Solving 2 + 2z = 21 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 2z + -4z = 21 + 4z + -4z Combine like terms: 2z + -4z = -2z 2 + -2z = 21 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + -2z = 21 + 0 2 + -2z = 21 Add '-2' to each side of the equation. 2 + -2 + -2z = 21 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = 21 + -2 -2z = 21 + -2 Combine like terms: 21 + -2 = 19 -2z = 19 Divide each side by '-2'. z = -9.5 Simplifying z = -9.5
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