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Simplifying 2z + -22 = -47 + 7z Reorder the terms: -22 + 2z = -47 + 7z Solving -22 + 2z = -47 + 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. -22 + 2z + -7z = -47 + 7z + -7z Combine like terms: 2z + -7z = -5z -22 + -5z = -47 + 7z + -7z Combine like terms: 7z + -7z = 0 -22 + -5z = -47 + 0 -22 + -5z = -47 Add '22' to each side of the equation. -22 + 22 + -5z = -47 + 22 Combine like terms: -22 + 22 = 0 0 + -5z = -47 + 22 -5z = -47 + 22 Combine like terms: -47 + 22 = -25 -5z = -25 Divide each side by '-5'. z = 5 Simplifying z = 5
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