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Simplifying 7z + -7 = 5 + 3z Reorder the terms: -7 + 7z = 5 + 3z Solving -7 + 7z = 5 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -7 + 7z + -3z = 5 + 3z + -3z Combine like terms: 7z + -3z = 4z -7 + 4z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 4z = 5 + 0 -7 + 4z = 5 Add '7' to each side of the equation. -7 + 7 + 4z = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = 5 + 7 4z = 5 + 7 Combine like terms: 5 + 7 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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