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Simplifying 2z + -9 = 7z + 1 Reorder the terms: -9 + 2z = 7z + 1 Reorder the terms: -9 + 2z = 1 + 7z Solving -9 + 2z = 1 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -9 + 2z + -7z = 1 + 7z + -7z Combine like terms: 2z + -7z = -5z -9 + -5z = 1 + 7z + -7z Combine like terms: 7z + -7z = 0 -9 + -5z = 1 + 0 -9 + -5z = 1 Add '9' to each side of the equation. -9 + 9 + -5z = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -5z = 1 + 9 -5z = 1 + 9 Combine like terms: 1 + 9 = 10 -5z = 10 Divide each side by '-5'. z = -2 Simplifying z = -2
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