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Simplifying 2 + -22 = -47 + 7z Combine like terms: 2 + -22 = -20 -20 = -47 + 7z Solving -20 = -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. -20 + -7z = -47 + 7z + -7z Combine like terms: 7z + -7z = 0 -20 + -7z = -47 + 0 -20 + -7z = -47 Add '20' to each side of the equation. -20 + 20 + -7z = -47 + 20 Combine like terms: -20 + 20 = 0 0 + -7z = -47 + 20 -7z = -47 + 20 Combine like terms: -47 + 20 = -27 -7z = -27 Divide each side by '-7'. z = 3.857142857 Simplifying z = 3.857142857
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