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Simplifying 0.5(8z + -4) = z + 8 + -2z Reorder the terms: 0.5(-4 + 8z) = z + 8 + -2z (-4 * 0.5 + 8z * 0.5) = z + 8 + -2z (-2 + 4z) = z + 8 + -2z Reorder the terms: -2 + 4z = 8 + z + -2z Combine like terms: z + -2z = -1z -2 + 4z = 8 + -1z Solving -2 + 4z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -2 + 4z + z = 8 + -1z + z Combine like terms: 4z + z = 5z -2 + 5z = 8 + -1z + z Combine like terms: -1z + z = 0 -2 + 5z = 8 + 0 -2 + 5z = 8 Add '2' to each side of the equation. -2 + 2 + 5z = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 8 + 2 5z = 8 + 2 Combine like terms: 8 + 2 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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