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Simplifying 3z + -23 = -31 + 7z Reorder the terms: -23 + 3z = -31 + 7z Solving -23 + 3z = -31 + 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. -23 + 3z + -7z = -31 + 7z + -7z Combine like terms: 3z + -7z = -4z -23 + -4z = -31 + 7z + -7z Combine like terms: 7z + -7z = 0 -23 + -4z = -31 + 0 -23 + -4z = -31 Add '23' to each side of the equation. -23 + 23 + -4z = -31 + 23 Combine like terms: -23 + 23 = 0 0 + -4z = -31 + 23 -4z = -31 + 23 Combine like terms: -31 + 23 = -8 -4z = -8 Divide each side by '-4'. z = 2 Simplifying z = 2
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