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Simplifying 2 + -3z = 5 + 3z Solving 2 + -3z = 5 + 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 = 5 + 3z + -3z Combine like terms: -3z + -3z = -6z 2 + -6z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -6z = 5 + 0 2 + -6z = 5 Add '-2' to each side of the equation. 2 + -2 + -6z = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = 5 + -2 -6z = 5 + -2 Combine like terms: 5 + -2 = 3 -6z = 3 Divide each side by '-6'. z = -0.5 Simplifying z = -0.5
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