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Simplifying 19.5 = 4(9.5z + -9) Reorder the terms: 19.5 = 4(-9 + 9.5z) 19.5 = (-9 * 4 + 9.5z * 4) 19.5 = (-36 + 38z) Solving 19.5 = -36 + 38z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-38z' to each side of the equation. 19.5 + -38z = -36 + 38z + -38z Combine like terms: 38z + -38z = 0 19.5 + -38z = -36 + 0 19.5 + -38z = -36 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -38z = -36 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -38z = -36 + -19.5 -38z = -36 + -19.5 Combine like terms: -36 + -19.5 = -55.5 -38z = -55.5 Divide each side by '-38'. z = 1.460526316 Simplifying z = 1.460526316
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