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Simplifying 8 + -1(6 + -0.5z) = 0 8 + (6 * -1 + -0.5z * -1) = 0 8 + (-6 + 0.5z) = 0 Combine like terms: 8 + -6 = 2 2 + 0.5z = 0 Solving 2 + 0.5z = 0 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 + 0.5z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5z = 0 + -2 0.5z = 0 + -2 Combine like terms: 0 + -2 = -2 0.5z = -2 Divide each side by '0.5'. z = -4 Simplifying z = -4
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