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Simplifying -1(-8z + 2) = 5z + 5 Reorder the terms: -1(2 + -8z) = 5z + 5 (2 * -1 + -8z * -1) = 5z + 5 (-2 + 8z) = 5z + 5 Reorder the terms: -2 + 8z = 5 + 5z Solving -2 + 8z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2 + 8z + -5z = 5 + 5z + -5z Combine like terms: 8z + -5z = 3z -2 + 3z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 + 3z = 5 + 0 -2 + 3z = 5 Add '2' to each side of the equation. -2 + 2 + 3z = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = 5 + 2 3z = 5 + 2 Combine like terms: 5 + 2 = 7 3z = 7 Divide each side by '3'. z = 2.333333333 Simplifying z = 2.333333333
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