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Simplifying (4z + 2) + (z + -5) = 0 Reorder the terms: (2 + 4z) + (z + -5) = 0 Remove parenthesis around (2 + 4z) 2 + 4z + (z + -5) = 0 Reorder the terms: 2 + 4z + (-5 + z) = 0 Remove parenthesis around (-5 + z) 2 + 4z + -5 + z = 0 Reorder the terms: 2 + -5 + 4z + z = 0 Combine like terms: 2 + -5 = -3 -3 + 4z + z = 0 Combine like terms: 4z + z = 5z -3 + 5z = 0 Solving -3 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5z = 0 + 3 5z = 0 + 3 Combine like terms: 0 + 3 = 3 5z = 3 Divide each side by '5'. z = 0.6 Simplifying z = 0.6
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