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Simplifying 4z + 9z + 1 + -6 = 20 + -10 Reorder the terms: 1 + -6 + 4z + 9z = 20 + -10 Combine like terms: 1 + -6 = -5 -5 + 4z + 9z = 20 + -10 Combine like terms: 4z + 9z = 13z -5 + 13z = 20 + -10 Combine like terms: 20 + -10 = 10 -5 + 13z = 10 Solving -5 + 13z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 13z = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 13z = 10 + 5 13z = 10 + 5 Combine like terms: 10 + 5 = 15 13z = 15 Divide each side by '13'. z = 1.153846154 Simplifying z = 1.153846154
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