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Simplifying 7z + -7 = -3z + 13 Reorder the terms: -7 + 7z = -3z + 13 Reorder the terms: -7 + 7z = 13 + -3z Solving -7 + 7z = 13 + -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 = 13 + -3z + 3z Combine like terms: 7z + 3z = 10z -7 + 10z = 13 + -3z + 3z Combine like terms: -3z + 3z = 0 -7 + 10z = 13 + 0 -7 + 10z = 13 Add '7' to each side of the equation. -7 + 7 + 10z = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 10z = 13 + 7 10z = 13 + 7 Combine like terms: 13 + 7 = 20 10z = 20 Divide each side by '10'. z = 2 Simplifying z = 2
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