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Simplifying 2(z + 0.5) = 8 + -1z Reorder the terms: 2(0.5 + z) = 8 + -1z (0.5 * 2 + z * 2) = 8 + -1z (1 + 2z) = 8 + -1z Solving 1 + 2z = 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. 1 + 2z + z = 8 + -1z + z Combine like terms: 2z + z = 3z 1 + 3z = 8 + -1z + z Combine like terms: -1z + z = 0 1 + 3z = 8 + 0 1 + 3z = 8 Add '-1' to each side of the equation. 1 + -1 + 3z = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 8 + -1 3z = 8 + -1 Combine like terms: 8 + -1 = 7 3z = 7 Divide each side by '3'. z = 2.333333333 Simplifying z = 2.333333333
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