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Simplifying 5(z + -2) + 8Z + -2 = 0 Reorder the terms: 5(-2 + z) + 8Z + -2 = 0 (-2 * 5 + z * 5) + 8Z + -2 = 0 (-10 + 5z) + 8Z + -2 = 0 Reorder the terms: -10 + -2 + 8Z + 5z = 0 Combine like terms: -10 + -2 = -12 -12 + 8Z + 5z = 0 Solving -12 + 8Z + 5z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8Z + 12 + 5z = 0 + 12 Reorder the terms: -12 + 12 + 8Z + 5z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8Z + 5z = 0 + 12 8Z + 5z = 0 + 12 Combine like terms: 0 + 12 = 12 8Z + 5z = 12 Add '-5z' to each side of the equation. 8Z + 5z + -5z = 12 + -5z Combine like terms: 5z + -5z = 0 8Z + 0 = 12 + -5z 8Z = 12 + -5z Divide each side by '8'. Z = 1.5 + -0.625z Simplifying Z = 1.5 + -0.625z
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