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Simplifying 8z + -2 = 40 + z Reorder the terms: -2 + 8z = 40 + z Solving -2 + 8z = 40 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -2 + 8z + -1z = 40 + z + -1z Combine like terms: 8z + -1z = 7z -2 + 7z = 40 + z + -1z Combine like terms: z + -1z = 0 -2 + 7z = 40 + 0 -2 + 7z = 40 Add '2' to each side of the equation. -2 + 2 + 7z = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 7z = 40 + 2 7z = 40 + 2 Combine like terms: 40 + 2 = 42 7z = 42 Divide each side by '7'. z = 6 Simplifying z = 6
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