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Simplifying -5z + -3z + 2 = -38 Reorder the terms: 2 + -5z + -3z = -38 Combine like terms: -5z + -3z = -8z 2 + -8z = -38 Solving 2 + -8z = -38 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. 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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