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Simplifying 8z + 5(6 + z) + 20 = 0 8z + (6 * 5 + z * 5) + 20 = 0 8z + (30 + 5z) + 20 = 0 Reorder the terms: 30 + 20 + 8z + 5z = 0 Combine like terms: 30 + 20 = 50 50 + 8z + 5z = 0 Combine like terms: 8z + 5z = 13z 50 + 13z = 0 Solving 50 + 13z = 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 + 13z = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 13z = 0 + -50 13z = 0 + -50 Combine like terms: 0 + -50 = -50 13z = -50 Divide each side by '13'. z = -3.846153846 Simplifying z = -3.846153846
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