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Simplifying 7z + -45 = 2z Reorder the terms: -45 + 7z = 2z Solving -45 + 7z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -45 + 7z + -2z = 2z + -2z Combine like terms: 7z + -2z = 5z -45 + 5z = 2z + -2z Combine like terms: 2z + -2z = 0 -45 + 5z = 0 Add '45' to each side of the equation. -45 + 45 + 5z = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5z = 0 + 45 5z = 0 + 45 Combine like terms: 0 + 45 = 45 5z = 45 Divide each side by '5'. z = 9 Simplifying z = 9
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