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Simplifying 7 + 2z + -2 = 7z + 8 + -4z Reorder the terms: 7 + -2 + 2z = 7z + 8 + -4z Combine like terms: 7 + -2 = 5 5 + 2z = 7z + 8 + -4z Reorder the terms: 5 + 2z = 8 + 7z + -4z Combine like terms: 7z + -4z = 3z 5 + 2z = 8 + 3z Solving 5 + 2z = 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. 5 + 2z + -3z = 8 + 3z + -3z Combine like terms: 2z + -3z = -1z 5 + -1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + -1z = 8 + 0 5 + -1z = 8 Add '-5' to each side of the equation. 5 + -5 + -1z = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 8 + -5 -1z = 8 + -5 Combine like terms: 8 + -5 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3
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