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Simplifying 9 + -1(2z + -9) = 2 + -3z Reorder the terms: 9 + -1(-9 + 2z) = 2 + -3z 9 + (-9 * -1 + 2z * -1) = 2 + -3z 9 + (9 + -2z) = 2 + -3z Combine like terms: 9 + 9 = 18 18 + -2z = 2 + -3z Solving 18 + -2z = 2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 18 + -2z + 3z = 2 + -3z + 3z Combine like terms: -2z + 3z = 1z 18 + 1z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 18 + 1z = 2 + 0 18 + 1z = 2 Add '-18' to each side of the equation. 18 + -18 + 1z = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 1z = 2 + -18 1z = 2 + -18 Combine like terms: 2 + -18 = -16 1z = -16 Divide each side by '1'. z = -16 Simplifying z = -16
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