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Simplifying 2 + -2z = -38 + 6z Solving 2 + -2z = -38 + 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. 2 + -2z + -6z = -38 + 6z + -6z Combine like terms: -2z + -6z = -8z 2 + -8z = -38 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + -8z = -38 + 0 2 + -8z = -38 Add '-2' to each side of the equation. 2 + -2 + -8z = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -8z = -38 + -2 -8z = -38 + -2 Combine like terms: -38 + -2 = -40 -8z = -40 Divide each side by '-8'. z = 5 Simplifying z = 5
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