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Simplifying -2z + -2 = 38 + 3z Reorder the terms: -2 + -2z = 38 + 3z Solving -2 + -2z = 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 + -2z + -3z = 38 + 3z + -3z Combine like terms: -2z + -3z = -5z -2 + -5z = 38 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + -5z = 38 + 0 -2 + -5z = 38 Add '2' to each side of the equation. -2 + 2 + -5z = 38 + 2 Combine like terms: -2 + 2 = 0 0 + -5z = 38 + 2 -5z = 38 + 2 Combine like terms: 38 + 2 = 40 -5z = 40 Divide each side by '-5'. z = -8 Simplifying z = -8
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