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Simplifying 5 + 4z + -2 = 7z + 8 + -2z Reorder the terms: 5 + -2 + 4z = 7z + 8 + -2z Combine like terms: 5 + -2 = 3 3 + 4z = 7z + 8 + -2z Reorder the terms: 3 + 4z = 8 + 7z + -2z Combine like terms: 7z + -2z = 5z 3 + 4z = 8 + 5z Solving 3 + 4z = 8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + 4z + -5z = 8 + 5z + -5z Combine like terms: 4z + -5z = -1z 3 + -1z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + -1z = 8 + 0 3 + -1z = 8 Add '-3' to each side of the equation. 3 + -3 + -1z = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 8 + -3 -1z = 8 + -3 Combine like terms: 8 + -3 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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