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Simplifying -3z + 2 = 38 + 3z Reorder the terms: 2 + -3z = 38 + 3z Solving 2 + -3z = 38 + 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 = 38 + 3z + -3z Combine like terms: -3z + -3z = -6z 2 + -6z = 38 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -6z = 38 + 0 2 + -6z = 38 Add '-2' to each side of the equation. 2 + -2 + -6z = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = 38 + -2 -6z = 38 + -2 Combine like terms: 38 + -2 = 36 -6z = 36 Divide each side by '-6'. z = -6 Simplifying z = -6
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