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Simplifying -1 + -9(-5z + 9) = -6(-3z + 5) + -7 Reorder the terms: -1 + -9(9 + -5z) = -6(-3z + 5) + -7 -1 + (9 * -9 + -5z * -9) = -6(-3z + 5) + -7 -1 + (-81 + 45z) = -6(-3z + 5) + -7 Combine like terms: -1 + -81 = -82 -82 + 45z = -6(-3z + 5) + -7 Reorder the terms: -82 + 45z = -6(5 + -3z) + -7 -82 + 45z = (5 * -6 + -3z * -6) + -7 -82 + 45z = (-30 + 18z) + -7 Reorder the terms: -82 + 45z = -30 + -7 + 18z Combine like terms: -30 + -7 = -37 -82 + 45z = -37 + 18z Solving -82 + 45z = -37 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -82 + 45z + -18z = -37 + 18z + -18z Combine like terms: 45z + -18z = 27z -82 + 27z = -37 + 18z + -18z Combine like terms: 18z + -18z = 0 -82 + 27z = -37 + 0 -82 + 27z = -37 Add '82' to each side of the equation. -82 + 82 + 27z = -37 + 82 Combine like terms: -82 + 82 = 0 0 + 27z = -37 + 82 27z = -37 + 82 Combine like terms: -37 + 82 = 45 27z = 45 Divide each side by '27'. z = 1.666666667 Simplifying z = 1.666666667
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