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Simplifying 3z + -8(-3z + -20) = -20 + 17z + -20 Reorder the terms: 3z + -8(-20 + -3z) = -20 + 17z + -20 3z + (-20 * -8 + -3z * -8) = -20 + 17z + -20 3z + (160 + 24z) = -20 + 17z + -20 Reorder the terms: 160 + 3z + 24z = -20 + 17z + -20 Combine like terms: 3z + 24z = 27z 160 + 27z = -20 + 17z + -20 Reorder the terms: 160 + 27z = -20 + -20 + 17z Combine like terms: -20 + -20 = -40 160 + 27z = -40 + 17z Solving 160 + 27z = -40 + 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. 160 + 27z + -17z = -40 + 17z + -17z Combine like terms: 27z + -17z = 10z 160 + 10z = -40 + 17z + -17z Combine like terms: 17z + -17z = 0 160 + 10z = -40 + 0 160 + 10z = -40 Add '-160' to each side of the equation. 160 + -160 + 10z = -40 + -160 Combine like terms: 160 + -160 = 0 0 + 10z = -40 + -160 10z = -40 + -160 Combine like terms: -40 + -160 = -200 10z = -200 Divide each side by '10'. z = -20 Simplifying z = -20
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