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Simplifying 8Z + 2 = 2(2 + -5) + -1z Reorder the terms: 2 + 8Z = 2(2 + -5) + -1z Combine like terms: 2 + -5 = -3 2 + 8Z = 2(-3) + -1z Multiply 2 * -3 2 + 8Z = -6 + -1z Solving 2 + 8Z = -6 + -1z 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 + 8Z = -6 + -2 + -1z Combine like terms: 2 + -2 = 0 0 + 8Z = -6 + -2 + -1z 8Z = -6 + -2 + -1z Combine like terms: -6 + -2 = -8 8Z = -8 + -1z Divide each side by '8'. Z = -1 + -0.125z Simplifying Z = -1 + -0.125z
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