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Simplifying 5(2z + 4) = 7z + 8 Reorder the terms: 5(4 + 2z) = 7z + 8 (4 * 5 + 2z * 5) = 7z + 8 (20 + 10z) = 7z + 8 Reorder the terms: 20 + 10z = 8 + 7z Solving 20 + 10z = 8 + 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 + 10z + -7z = 8 + 7z + -7z Combine like terms: 10z + -7z = 3z 20 + 3z = 8 + 7z + -7z Combine like terms: 7z + -7z = 0 20 + 3z = 8 + 0 20 + 3z = 8 Add '-20' to each side of the equation. 20 + -20 + 3z = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 3z = 8 + -20 3z = 8 + -20 Combine like terms: 8 + -20 = -12 3z = -12 Divide each side by '3'. z = -4 Simplifying z = -4
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