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Simplifying 19z = -11 + -9(-2z + 1) Reorder the terms: 19z = -11 + -9(1 + -2z) 19z = -11 + (1 * -9 + -2z * -9) 19z = -11 + (-9 + 18z) Combine like terms: -11 + -9 = -20 19z = -20 + 18z Solving 19z = -20 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 19z + -18z = -20 + 18z + -18z Combine like terms: 19z + -18z = 1z 1z = -20 + 18z + -18z Combine like terms: 18z + -18z = 0 1z = -20 + 0 1z = -20 Divide each side by '1'. z = -20 Simplifying z = -20
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