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Simplifying 4 + 2 = 3z + 3z + -2 Combine like terms: 4 + 2 = 6 6 = 3z + 3z + -2 Reorder the terms: 6 = -2 + 3z + 3z Combine like terms: 3z + 3z = 6z 6 = -2 + 6z Solving 6 = -2 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 6 + -6z = -2 + 6z + -6z Combine like terms: 6z + -6z = 0 6 + -6z = -2 + 0 6 + -6z = -2 Add '-6' to each side of the equation. 6 + -6 + -6z = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -6z = -2 + -6 -6z = -2 + -6 Combine like terms: -2 + -6 = -8 -6z = -8 Divide each side by '-6'. z = 1.333333333 Simplifying z = 1.333333333
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