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Simplifying 5z + -2z + 8z + 10 = 0 Reorder the terms: 10 + 5z + -2z + 8z = 0 Combine like terms: 5z + -2z = 3z 10 + 3z + 8z = 0 Combine like terms: 3z + 8z = 11z 10 + 11z = 0 Solving 10 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11z = 0 + -10 11z = 0 + -10 Combine like terms: 0 + -10 = -10 11z = -10 Divide each side by '11'. z = -0.9090909091 Simplifying z = -0.9090909091
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