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Simplifying 12z + -31 = 7z + -1 Reorder the terms: -31 + 12z = 7z + -1 Reorder the terms: -31 + 12z = -1 + 7z Solving -31 + 12z = -1 + 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. -31 + 12z + -7z = -1 + 7z + -7z Combine like terms: 12z + -7z = 5z -31 + 5z = -1 + 7z + -7z Combine like terms: 7z + -7z = 0 -31 + 5z = -1 + 0 -31 + 5z = -1 Add '31' to each side of the equation. -31 + 31 + 5z = -1 + 31 Combine like terms: -31 + 31 = 0 0 + 5z = -1 + 31 5z = -1 + 31 Combine like terms: -1 + 31 = 30 5z = 30 Divide each side by '5'. z = 6 Simplifying z = 6
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