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Simplifying -1(2z + -1(7z + 8)) = 8 + (4z + 4) Reorder the terms: -1(2z + -1(8 + 7z)) = 8 + (4z + 4) -1(2z + (8 * -1 + 7z * -1)) = 8 + (4z + 4) -1(2z + (-8 + -7z)) = 8 + (4z + 4) Reorder the terms: -1(-8 + 2z + -7z) = 8 + (4z + 4) Combine like terms: 2z + -7z = -5z -1(-8 + -5z) = 8 + (4z + 4) (-8 * -1 + -5z * -1) = 8 + (4z + 4) (8 + 5z) = 8 + (4z + 4) Reorder the terms: 8 + 5z = 8 + (4 + 4z) Remove parenthesis around (4 + 4z) 8 + 5z = 8 + 4 + 4z Combine like terms: 8 + 4 = 12 8 + 5z = 12 + 4z Solving 8 + 5z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 8 + 5z + -4z = 12 + 4z + -4z Combine like terms: 5z + -4z = 1z 8 + 1z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 1z = 12 + 0 8 + 1z = 12 Add '-8' to each side of the equation. 8 + -8 + 1z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 12 + -8 1z = 12 + -8 Combine like terms: 12 + -8 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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