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Simplifying 6z + 2 + -3z = 5 + 2z + -2 Reorder the terms: 2 + 6z + -3z = 5 + 2z + -2 Combine like terms: 6z + -3z = 3z 2 + 3z = 5 + 2z + -2 Reorder the terms: 2 + 3z = 5 + -2 + 2z Combine like terms: 5 + -2 = 3 2 + 3z = 3 + 2z Solving 2 + 3z = 3 + 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 = 3 + 2z + -2z Combine like terms: 3z + -2z = 1z 2 + 1z = 3 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 1z = 3 + 0 2 + 1z = 3 Add '-2' to each side of the equation. 2 + -2 + 1z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 3 + -2 1z = 3 + -2 Combine like terms: 3 + -2 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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