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Simplifying 6z + 2 + -7 = 32 + 7z Reorder the terms: 2 + -7 + 6z = 32 + 7z Combine like terms: 2 + -7 = -5 -5 + 6z = 32 + 7z Solving -5 + 6z = 32 + 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. -5 + 6z + -7z = 32 + 7z + -7z Combine like terms: 6z + -7z = -1z -5 + -1z = 32 + 7z + -7z Combine like terms: 7z + -7z = 0 -5 + -1z = 32 + 0 -5 + -1z = 32 Add '5' to each side of the equation. -5 + 5 + -1z = 32 + 5 Combine like terms: -5 + 5 = 0 0 + -1z = 32 + 5 -1z = 32 + 5 Combine like terms: 32 + 5 = 37 -1z = 37 Divide each side by '-1'. z = -37 Simplifying z = -37
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