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Simplifying 6z + -20 = -22 + 7z Reorder the terms: -20 + 6z = -22 + 7z Solving -20 + 6z = -22 + 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 + 6z + -7z = -22 + 7z + -7z Combine like terms: 6z + -7z = -1z -20 + -1z = -22 + 7z + -7z Combine like terms: 7z + -7z = 0 -20 + -1z = -22 + 0 -20 + -1z = -22 Add '20' to each side of the equation. -20 + 20 + -1z = -22 + 20 Combine like terms: -20 + 20 = 0 0 + -1z = -22 + 20 -1z = -22 + 20 Combine like terms: -22 + 20 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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