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Simplifying 2 + 3z = 7 + -3z Solving 2 + 3z = 7 + -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. 2 + 3z + 3z = 7 + -3z + 3z Combine like terms: 3z + 3z = 6z 2 + 6z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 6z = 7 + 0 2 + 6z = 7 Add '-2' to each side of the equation. 2 + -2 + 6z = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 7 + -2 6z = 7 + -2 Combine like terms: 7 + -2 = 5 6z = 5 Divide each side by '6'. z = 0.8333333333 Simplifying z = 0.8333333333
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