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