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Simplifying (4z) + 9 + (5z + -3) + (z + 1) = 0 Reorder the terms: (4z) + 9 + (-3 + 5z) + (z + 1) = 0 Remove parenthesis around (-3 + 5z) (4z) + 9 + -3 + 5z + (z + 1) = 0 Reorder the terms: (4z) + 9 + -3 + 5z + (1 + z) = 0 Remove parenthesis around (1 + z) (4z) + 9 + -3 + 5z + 1 + z = 0 Reorder the terms: 9 + -3 + 1 + (4z) + 5z + z = 0 Combine like terms: 9 + -3 = 6 6 + 1 + (4z) + 5z + z = 0 Combine like terms: 6 + 1 = 7 7 + (4z) + 5z + z = 0 Combine like terms: (4z) + 5z = 9z 7 + 9z + z = 0 Combine like terms: 9z + z = 10z 7 + 10z = 0 Solving 7 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10z = 0 + -7 10z = 0 + -7 Combine like terms: 0 + -7 = -7 10z = -7 Divide each side by '10'. z = -0.7 Simplifying z = -0.7
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