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Simplifying 7z + -6 = z + 30 Reorder the terms: -6 + 7z = z + 30 Reorder the terms: -6 + 7z = 30 + z Solving -6 + 7z = 30 + 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. -6 + 7z + -1z = 30 + z + -1z Combine like terms: 7z + -1z = 6z -6 + 6z = 30 + z + -1z Combine like terms: z + -1z = 0 -6 + 6z = 30 + 0 -6 + 6z = 30 Add '6' to each side of the equation. -6 + 6 + 6z = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 6z = 30 + 6 6z = 30 + 6 Combine like terms: 30 + 6 = 36 6z = 36 Divide each side by '6'. z = 6 Simplifying z = 6
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