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Simplifying 0.5(10z + 8) + -2 = 4(z + -6) Reorder the terms: 0.5(8 + 10z) + -2 = 4(z + -6) (8 * 0.5 + 10z * 0.5) + -2 = 4(z + -6) (4 + 5z) + -2 = 4(z + -6) Reorder the terms: 4 + -2 + 5z = 4(z + -6) Combine like terms: 4 + -2 = 2 2 + 5z = 4(z + -6) Reorder the terms: 2 + 5z = 4(-6 + z) 2 + 5z = (-6 * 4 + z * 4) 2 + 5z = (-24 + 4z) Solving 2 + 5z = -24 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 5z + -4z = -24 + 4z + -4z Combine like terms: 5z + -4z = 1z 2 + 1z = -24 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 1z = -24 + 0 2 + 1z = -24 Add '-2' to each side of the equation. 2 + -2 + 1z = -24 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = -24 + -2 1z = -24 + -2 Combine like terms: -24 + -2 = -26 1z = -26 Divide each side by '1'. z = -26 Simplifying z = -26
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