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Simplifying 4(z + 2) + (4 + 8z) = 5z Reorder the terms: 4(2 + z) + (4 + 8z) = 5z (2 * 4 + z * 4) + (4 + 8z) = 5z (8 + 4z) + (4 + 8z) = 5z Remove parenthesis around (4 + 8z) 8 + 4z + 4 + 8z = 5z Reorder the terms: 8 + 4 + 4z + 8z = 5z Combine like terms: 8 + 4 = 12 12 + 4z + 8z = 5z Combine like terms: 4z + 8z = 12z 12 + 12z = 5z Solving 12 + 12z = 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. 12 + 12z + -5z = 5z + -5z Combine like terms: 12z + -5z = 7z 12 + 7z = 5z + -5z Combine like terms: 5z + -5z = 0 12 + 7z = 0 Add '-12' to each side of the equation. 12 + -12 + 7z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7z = 0 + -12 7z = 0 + -12 Combine like terms: 0 + -12 = -12 7z = -12 Divide each side by '7'. z = -1.714285714 Simplifying z = -1.714285714
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