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Simplifying -1(2z + -1(5z + 9)) = 9 + (2z + 2) Reorder the terms: -1(2z + -1(9 + 5z)) = 9 + (2z + 2) -1(2z + (9 * -1 + 5z * -1)) = 9 + (2z + 2) -1(2z + (-9 + -5z)) = 9 + (2z + 2) Reorder the terms: -1(-9 + 2z + -5z) = 9 + (2z + 2) Combine like terms: 2z + -5z = -3z -1(-9 + -3z) = 9 + (2z + 2) (-9 * -1 + -3z * -1) = 9 + (2z + 2) (9 + 3z) = 9 + (2z + 2) Reorder the terms: 9 + 3z = 9 + (2 + 2z) Remove parenthesis around (2 + 2z) 9 + 3z = 9 + 2 + 2z Combine like terms: 9 + 2 = 11 9 + 3z = 11 + 2z Solving 9 + 3z = 11 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 9 + 3z + -2z = 11 + 2z + -2z Combine like terms: 3z + -2z = 1z 9 + 1z = 11 + 2z + -2z Combine like terms: 2z + -2z = 0 9 + 1z = 11 + 0 9 + 1z = 11 Add '-9' to each side of the equation. 9 + -9 + 1z = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 11 + -9 1z = 11 + -9 Combine like terms: 11 + -9 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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