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Simplifying 7z + 2 = -8 + -3z Reorder the terms: 2 + 7z = -8 + -3z Solving 2 + 7z = -8 + -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. 2 + 7z + 3z = -8 + -3z + 3z Combine like terms: 7z + 3z = 10z 2 + 10z = -8 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 10z = -8 + 0 2 + 10z = -8 Add '-2' to each side of the equation. 2 + -2 + 10z = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 10z = -8 + -2 10z = -8 + -2 Combine like terms: -8 + -2 = -10 10z = -10 Divide each side by '10'. z = -1 Simplifying z = -1
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