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Simplifying -19.5 = 9.5(5z + -3) Reorder the terms: -19.5 = 9.5(-3 + 5z) -19.5 = (-3 * 9.5 + 5z * 9.5) -19.5 = (-28.5 + 47.5z) Solving -19.5 = -28.5 + 47.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-47.5z' to each side of the equation. -19.5 + -47.5z = -28.5 + 47.5z + -47.5z Combine like terms: 47.5z + -47.5z = 0.0 -19.5 + -47.5z = -28.5 + 0.0 -19.5 + -47.5z = -28.5 Add '19.5' to each side of the equation. -19.5 + 19.5 + -47.5z = -28.5 + 19.5 Combine like terms: -19.5 + 19.5 = 0.0 0.0 + -47.5z = -28.5 + 19.5 -47.5z = -28.5 + 19.5 Combine like terms: -28.5 + 19.5 = -9 -47.5z = -9 Divide each side by '-47.5'. z = 0.1894736842 Simplifying z = 0.1894736842
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