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