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Simplifying 2z + 1 = 6 + -3z Reorder the terms: 1 + 2z = 6 + -3z Solving 1 + 2z = 6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 1 + 2z + 3z = 6 + -3z + 3z Combine like terms: 2z + 3z = 5z 1 + 5z = 6 + -3z + 3z Combine like terms: -3z + 3z = 0 1 + 5z = 6 + 0 1 + 5z = 6 Add '-1' to each side of the equation. 1 + -1 + 5z = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 5z = 6 + -1 5z = 6 + -1 Combine like terms: 6 + -1 = 5 5z = 5 Divide each side by '5'. z = 1 Simplifying z = 1
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