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