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Simplifying 4 + 8 + 5z + -3z + 6 = 0 Reorder the terms: 4 + 8 + 6 + 5z + -3z = 0 Combine like terms: 4 + 8 = 12 12 + 6 + 5z + -3z = 0 Combine like terms: 12 + 6 = 18 18 + 5z + -3z = 0 Combine like terms: 5z + -3z = 2z 18 + 2z = 0 Solving 18 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2z = 0 + -18 2z = 0 + -18 Combine like terms: 0 + -18 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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