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Simplifying 6z + -1(-24z + -11) + 20 = 9 + (-27z + -21) Reorder the terms: 6z + -1(-11 + -24z) + 20 = 9 + (-27z + -21) 6z + (-11 * -1 + -24z * -1) + 20 = 9 + (-27z + -21) 6z + (11 + 24z) + 20 = 9 + (-27z + -21) Reorder the terms: 11 + 20 + 6z + 24z = 9 + (-27z + -21) Combine like terms: 11 + 20 = 31 31 + 6z + 24z = 9 + (-27z + -21) Combine like terms: 6z + 24z = 30z 31 + 30z = 9 + (-27z + -21) Reorder the terms: 31 + 30z = 9 + (-21 + -27z) Remove parenthesis around (-21 + -27z) 31 + 30z = 9 + -21 + -27z Combine like terms: 9 + -21 = -12 31 + 30z = -12 + -27z Solving 31 + 30z = -12 + -27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27z' to each side of the equation. 31 + 30z + 27z = -12 + -27z + 27z Combine like terms: 30z + 27z = 57z 31 + 57z = -12 + -27z + 27z Combine like terms: -27z + 27z = 0 31 + 57z = -12 + 0 31 + 57z = -12 Add '-31' to each side of the equation. 31 + -31 + 57z = -12 + -31 Combine like terms: 31 + -31 = 0 0 + 57z = -12 + -31 57z = -12 + -31 Combine like terms: -12 + -31 = -43 57z = -43 Divide each side by '57'. z = -0.7543859649 Simplifying z = -0.7543859649
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