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Simplifying 38 = 8 + -2z Solving 38 = 8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 38 + 2z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 38 + 2z = 8 + 0 38 + 2z = 8 Add '-38' to each side of the equation. 38 + -38 + 2z = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 2z = 8 + -38 2z = 8 + -38 Combine like terms: 8 + -38 = -30 2z = -30 Divide each side by '2'. z = -15 Simplifying z = -15
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