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Simplifying 0.5(20z + 18) + -8 = 9(z + -3) Reorder the terms: 0.5(18 + 20z) + -8 = 9(z + -3) (18 * 0.5 + 20z * 0.5) + -8 = 9(z + -3) (9 + 10z) + -8 = 9(z + -3) Reorder the terms: 9 + -8 + 10z = 9(z + -3) Combine like terms: 9 + -8 = 1 1 + 10z = 9(z + -3) Reorder the terms: 1 + 10z = 9(-3 + z) 1 + 10z = (-3 * 9 + z * 9) 1 + 10z = (-27 + 9z) Solving 1 + 10z = -27 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 1 + 10z + -9z = -27 + 9z + -9z Combine like terms: 10z + -9z = 1z 1 + 1z = -27 + 9z + -9z Combine like terms: 9z + -9z = 0 1 + 1z = -27 + 0 1 + 1z = -27 Add '-1' to each side of the equation. 1 + -1 + 1z = -27 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = -27 + -1 1z = -27 + -1 Combine like terms: -27 + -1 = -28 1z = -28 Divide each side by '1'. z = -28 Simplifying z = -28
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