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Simplifying (3z) + (5z + 5) + (4z + -8) = 0 Reorder the terms: (3z) + (5 + 5z) + (4z + -8) = 0 Remove parenthesis around (5 + 5z) (3z) + 5 + 5z + (4z + -8) = 0 Reorder the terms: (3z) + 5 + 5z + (-8 + 4z) = 0 Remove parenthesis around (-8 + 4z) (3z) + 5 + 5z + -8 + 4z = 0 Reorder the terms: 5 + -8 + (3z) + 5z + 4z = 0 Combine like terms: 5 + -8 = -3 -3 + (3z) + 5z + 4z = 0 Combine like terms: (3z) + 5z = 8z -3 + 8z + 4z = 0 Combine like terms: 8z + 4z = 12z -3 + 12z = 0 Solving -3 + 12z = 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 + 12z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12z = 0 + 3 12z = 0 + 3 Combine like terms: 0 + 3 = 3 12z = 3 Divide each side by '12'. z = 0.25 Simplifying z = 0.25
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