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Simplifying 2z + 7 = 7z + -45 Reorder the terms: 7 + 2z = 7z + -45 Reorder the terms: 7 + 2z = -45 + 7z Solving 7 + 2z = -45 + 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. 7 + 2z + -7z = -45 + 7z + -7z Combine like terms: 2z + -7z = -5z 7 + -5z = -45 + 7z + -7z Combine like terms: 7z + -7z = 0 7 + -5z = -45 + 0 7 + -5z = -45 Add '-7' to each side of the equation. 7 + -7 + -5z = -45 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = -45 + -7 -5z = -45 + -7 Combine like terms: -45 + -7 = -52 -5z = -52 Divide each side by '-5'. z = 10.4 Simplifying z = 10.4
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