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Simplifying 2(9z + 2) + -5(z + -8) = 0 Reorder the terms: 2(2 + 9z) + -5(z + -8) = 0 (2 * 2 + 9z * 2) + -5(z + -8) = 0 (4 + 18z) + -5(z + -8) = 0 Reorder the terms: 4 + 18z + -5(-8 + z) = 0 4 + 18z + (-8 * -5 + z * -5) = 0 4 + 18z + (40 + -5z) = 0 Reorder the terms: 4 + 40 + 18z + -5z = 0 Combine like terms: 4 + 40 = 44 44 + 18z + -5z = 0 Combine like terms: 18z + -5z = 13z 44 + 13z = 0 Solving 44 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 13z = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 13z = 0 + -44 13z = 0 + -44 Combine like terms: 0 + -44 = -44 13z = -44 Divide each side by '13'. z = -3.384615385 Simplifying z = -3.384615385
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