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Simplifying 8 + 2z + -7 = 9z + 46 + -2z Reorder the terms: 8 + -7 + 2z = 9z + 46 + -2z Combine like terms: 8 + -7 = 1 1 + 2z = 9z + 46 + -2z Reorder the terms: 1 + 2z = 46 + 9z + -2z Combine like terms: 9z + -2z = 7z 1 + 2z = 46 + 7z Solving 1 + 2z = 46 + 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. 1 + 2z + -7z = 46 + 7z + -7z Combine like terms: 2z + -7z = -5z 1 + -5z = 46 + 7z + -7z Combine like terms: 7z + -7z = 0 1 + -5z = 46 + 0 1 + -5z = 46 Add '-1' to each side of the equation. 1 + -1 + -5z = 46 + -1 Combine like terms: 1 + -1 = 0 0 + -5z = 46 + -1 -5z = 46 + -1 Combine like terms: 46 + -1 = 45 -5z = 45 Divide each side by '-5'. z = -9 Simplifying z = -9
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