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Simplifying 5z + 20 = 7z + 4 Reorder the terms: 20 + 5z = 7z + 4 Reorder the terms: 20 + 5z = 4 + 7z Solving 20 + 5z = 4 + 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. 20 + 5z + -7z = 4 + 7z + -7z Combine like terms: 5z + -7z = -2z 20 + -2z = 4 + 7z + -7z Combine like terms: 7z + -7z = 0 20 + -2z = 4 + 0 20 + -2z = 4 Add '-20' to each side of the equation. 20 + -20 + -2z = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -2z = 4 + -20 -2z = 4 + -20 Combine like terms: 4 + -20 = -16 -2z = -16 Divide each side by '-2'. z = 8 Simplifying z = 8
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