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Simplifying 9(z + -9) + -1(2 + -3z) = 11z Reorder the terms: 9(-9 + z) + -1(2 + -3z) = 11z (-9 * 9 + z * 9) + -1(2 + -3z) = 11z (-81 + 9z) + -1(2 + -3z) = 11z -81 + 9z + (2 * -1 + -3z * -1) = 11z -81 + 9z + (-2 + 3z) = 11z Reorder the terms: -81 + -2 + 9z + 3z = 11z Combine like terms: -81 + -2 = -83 -83 + 9z + 3z = 11z Combine like terms: 9z + 3z = 12z -83 + 12z = 11z Solving -83 + 12z = 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -83 + 12z + -11z = 11z + -11z Combine like terms: 12z + -11z = 1z -83 + 1z = 11z + -11z Combine like terms: 11z + -11z = 0 -83 + 1z = 0 Add '83' to each side of the equation. -83 + 83 + 1z = 0 + 83 Combine like terms: -83 + 83 = 0 0 + 1z = 0 + 83 1z = 0 + 83 Combine like terms: 0 + 83 = 83 1z = 83 Divide each side by '1'. z = 83 Simplifying z = 83
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