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Simplifying 2z + 0.5(z + -4) = 9 Reorder the terms: 2z + 0.5(-4 + z) = 9 2z + (-4 * 0.5 + z * 0.5) = 9 2z + (-2 + 0.5z) = 9 Reorder the terms: -2 + 2z + 0.5z = 9 Combine like terms: 2z + 0.5z = 2.5z -2 + 2.5z = 9 Solving -2 + 2.5z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2.5z = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 2.5z = 9 + 2 2.5z = 9 + 2 Combine like terms: 9 + 2 = 11 2.5z = 11 Divide each side by '2.5'. z = 4.4 Simplifying z = 4.4
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