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Simplifying (4z + 2) + (5z + -3) = 0 Reorder the terms: (2 + 4z) + (5z + -3) = 0 Remove parenthesis around (2 + 4z) 2 + 4z + (5z + -3) = 0 Reorder the terms: 2 + 4z + (-3 + 5z) = 0 Remove parenthesis around (-3 + 5z) 2 + 4z + -3 + 5z = 0 Reorder the terms: 2 + -3 + 4z + 5z = 0 Combine like terms: 2 + -3 = -1 -1 + 4z + 5z = 0 Combine like terms: 4z + 5z = 9z -1 + 9z = 0 Solving -1 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9z = 0 + 1 9z = 0 + 1 Combine like terms: 0 + 1 = 1 9z = 1 Divide each side by '9'. z = 0.1111111111 Simplifying z = 0.1111111111
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