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Simplifying 6z + 5 + -2z = 3 + 3z + 5 Reorder the terms: 5 + 6z + -2z = 3 + 3z + 5 Combine like terms: 6z + -2z = 4z 5 + 4z = 3 + 3z + 5 Reorder the terms: 5 + 4z = 3 + 5 + 3z Combine like terms: 3 + 5 = 8 5 + 4z = 8 + 3z Solving 5 + 4z = 8 + 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. 5 + 4z + -3z = 8 + 3z + -3z Combine like terms: 4z + -3z = 1z 5 + 1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 1z = 8 + 0 5 + 1z = 8 Add '-5' to each side of the equation. 5 + -5 + 1z = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 8 + -5 1z = 8 + -5 Combine like terms: 8 + -5 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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