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Simplifying 3z + -7 = -39 + 7z Reorder the terms: -7 + 3z = -39 + 7z Solving -7 + 3z = -39 + 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. -7 + 3z + -7z = -39 + 7z + -7z Combine like terms: 3z + -7z = -4z -7 + -4z = -39 + 7z + -7z Combine like terms: 7z + -7z = 0 -7 + -4z = -39 + 0 -7 + -4z = -39 Add '7' to each side of the equation. -7 + 7 + -4z = -39 + 7 Combine like terms: -7 + 7 = 0 0 + -4z = -39 + 7 -4z = -39 + 7 Combine like terms: -39 + 7 = -32 -4z = -32 Divide each side by '-4'. z = 8 Simplifying z = 8
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