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Simplifying 9 + -6(5z + -3) = 6(3z + 5) + -1 Reorder the terms: 9 + -6(-3 + 5z) = 6(3z + 5) + -1 9 + (-3 * -6 + 5z * -6) = 6(3z + 5) + -1 9 + (18 + -30z) = 6(3z + 5) + -1 Combine like terms: 9 + 18 = 27 27 + -30z = 6(3z + 5) + -1 Reorder the terms: 27 + -30z = 6(5 + 3z) + -1 27 + -30z = (5 * 6 + 3z * 6) + -1 27 + -30z = (30 + 18z) + -1 Reorder the terms: 27 + -30z = 30 + -1 + 18z Combine like terms: 30 + -1 = 29 27 + -30z = 29 + 18z Solving 27 + -30z = 29 + 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. 27 + -30z + -18z = 29 + 18z + -18z Combine like terms: -30z + -18z = -48z 27 + -48z = 29 + 18z + -18z Combine like terms: 18z + -18z = 0 27 + -48z = 29 + 0 27 + -48z = 29 Add '-27' to each side of the equation. 27 + -27 + -48z = 29 + -27 Combine like terms: 27 + -27 = 0 0 + -48z = 29 + -27 -48z = 29 + -27 Combine like terms: 29 + -27 = 2 -48z = 2 Divide each side by '-48'. z = -0.04166666667 Simplifying z = -0.04166666667
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