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Simplifying -10 + 10z + 6(5z + 10) = 0 Reorder the terms: -10 + 10z + 6(10 + 5z) = 0 -10 + 10z + (10 * 6 + 5z * 6) = 0 -10 + 10z + (60 + 30z) = 0 Reorder the terms: -10 + 60 + 10z + 30z = 0 Combine like terms: -10 + 60 = 50 50 + 10z + 30z = 0 Combine like terms: 10z + 30z = 40z 50 + 40z = 0 Solving 50 + 40z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 40z = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 40z = 0 + -50 40z = 0 + -50 Combine like terms: 0 + -50 = -50 40z = -50 Divide each side by '40'. z = -1.25 Simplifying z = -1.25
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