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