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Simplifying 9(z + -1) + -1(9 + -9z) = 17z Reorder the terms: 9(-1 + z) + -1(9 + -9z) = 17z (-1 * 9 + z * 9) + -1(9 + -9z) = 17z (-9 + 9z) + -1(9 + -9z) = 17z -9 + 9z + (9 * -1 + -9z * -1) = 17z -9 + 9z + (-9 + 9z) = 17z Reorder the terms: -9 + -9 + 9z + 9z = 17z Combine like terms: -9 + -9 = -18 -18 + 9z + 9z = 17z Combine like terms: 9z + 9z = 18z -18 + 18z = 17z Solving -18 + 18z = 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -18 + 18z + -17z = 17z + -17z Combine like terms: 18z + -17z = 1z -18 + 1z = 17z + -17z Combine like terms: 17z + -17z = 0 -18 + 1z = 0 Add '18' to each side of the equation. -18 + 18 + 1z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1z = 0 + 18 1z = 0 + 18 Combine like terms: 0 + 18 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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