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Simplifying 4z + 9 + -1z = 7 + 2z + -2 Reorder the terms: 9 + 4z + -1z = 7 + 2z + -2 Combine like terms: 4z + -1z = 3z 9 + 3z = 7 + 2z + -2 Reorder the terms: 9 + 3z = 7 + -2 + 2z Combine like terms: 7 + -2 = 5 9 + 3z = 5 + 2z Solving 9 + 3z = 5 + 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 = 5 + 2z + -2z Combine like terms: 3z + -2z = 1z 9 + 1z = 5 + 2z + -2z Combine like terms: 2z + -2z = 0 9 + 1z = 5 + 0 9 + 1z = 5 Add '-9' to each side of the equation. 9 + -9 + 1z = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 5 + -9 1z = 5 + -9 Combine like terms: 5 + -9 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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