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Simplifying 7z + 4 = -5z + -2 Reorder the terms: 4 + 7z = -5z + -2 Reorder the terms: 4 + 7z = -2 + -5z Solving 4 + 7z = -2 + -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. 4 + 7z + 5z = -2 + -5z + 5z Combine like terms: 7z + 5z = 12z 4 + 12z = -2 + -5z + 5z Combine like terms: -5z + 5z = 0 4 + 12z = -2 + 0 4 + 12z = -2 Add '-4' to each side of the equation. 4 + -4 + 12z = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 12z = -2 + -4 12z = -2 + -4 Combine like terms: -2 + -4 = -6 12z = -6 Divide each side by '12'. z = -0.5 Simplifying z = -0.5
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