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Simplifying 6z + 38 = 8z + -5 Reorder the terms: 38 + 6z = 8z + -5 Reorder the terms: 38 + 6z = -5 + 8z Solving 38 + 6z = -5 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 38 + 6z + -8z = -5 + 8z + -8z Combine like terms: 6z + -8z = -2z 38 + -2z = -5 + 8z + -8z Combine like terms: 8z + -8z = 0 38 + -2z = -5 + 0 38 + -2z = -5 Add '-38' to each side of the equation. 38 + -38 + -2z = -5 + -38 Combine like terms: 38 + -38 = 0 0 + -2z = -5 + -38 -2z = -5 + -38 Combine like terms: -5 + -38 = -43 -2z = -43 Divide each side by '-2'. z = 21.5 Simplifying z = 21.5
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