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Simplifying 5z + 3 + -2z = 4 + 2z + -9 Reorder the terms: 3 + 5z + -2z = 4 + 2z + -9 Combine like terms: 5z + -2z = 3z 3 + 3z = 4 + 2z + -9 Reorder the terms: 3 + 3z = 4 + -9 + 2z Combine like terms: 4 + -9 = -5 3 + 3z = -5 + 2z Solving 3 + 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. 3 + 3z + -2z = -5 + 2z + -2z Combine like terms: 3z + -2z = 1z 3 + 1z = -5 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 1z = -5 + 0 3 + 1z = -5 Add '-3' to each side of the equation. 3 + -3 + 1z = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = -5 + -3 1z = -5 + -3 Combine like terms: -5 + -3 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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