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Simplifying -5(-9z + 1) + 9 = 6 + 8z Reorder the terms: -5(1 + -9z) + 9 = 6 + 8z (1 * -5 + -9z * -5) + 9 = 6 + 8z (-5 + 45z) + 9 = 6 + 8z Reorder the terms: -5 + 9 + 45z = 6 + 8z Combine like terms: -5 + 9 = 4 4 + 45z = 6 + 8z Solving 4 + 45z = 6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4 + 45z + -8z = 6 + 8z + -8z Combine like terms: 45z + -8z = 37z 4 + 37z = 6 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + 37z = 6 + 0 4 + 37z = 6 Add '-4' to each side of the equation. 4 + -4 + 37z = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 37z = 6 + -4 37z = 6 + -4 Combine like terms: 6 + -4 = 2 37z = 2 Divide each side by '37'. z = 0.05405405405 Simplifying z = 0.05405405405
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