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Simplifying 5z + 8 = -2z + -1 + -9z Reorder the terms: 8 + 5z = -2z + -1 + -9z Reorder the terms: 8 + 5z = -1 + -2z + -9z Combine like terms: -2z + -9z = -11z 8 + 5z = -1 + -11z Solving 8 + 5z = -1 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. 8 + 5z + 11z = -1 + -11z + 11z Combine like terms: 5z + 11z = 16z 8 + 16z = -1 + -11z + 11z Combine like terms: -11z + 11z = 0 8 + 16z = -1 + 0 8 + 16z = -1 Add '-8' to each side of the equation. 8 + -8 + 16z = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 16z = -1 + -8 16z = -1 + -8 Combine like terms: -1 + -8 = -9 16z = -9 Divide each side by '16'. z = -0.5625 Simplifying z = -0.5625
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