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Simplifying 5z + 6z + 8z + -3 = 0 Reorder the terms: -3 + 5z + 6z + 8z = 0 Combine like terms: 5z + 6z = 11z -3 + 11z + 8z = 0 Combine like terms: 11z + 8z = 19z -3 + 19z = 0 Solving -3 + 19z = 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 + 19z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 19z = 0 + 3 19z = 0 + 3 Combine like terms: 0 + 3 = 3 19z = 3 Divide each side by '19'. z = 0.1578947368 Simplifying z = 0.1578947368
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