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Simplifying 3 + -6(-9z + -4) = 5(2z + 7) + -3 Reorder the terms: 3 + -6(-4 + -9z) = 5(2z + 7) + -3 3 + (-4 * -6 + -9z * -6) = 5(2z + 7) + -3 3 + (24 + 54z) = 5(2z + 7) + -3 Combine like terms: 3 + 24 = 27 27 + 54z = 5(2z + 7) + -3 Reorder the terms: 27 + 54z = 5(7 + 2z) + -3 27 + 54z = (7 * 5 + 2z * 5) + -3 27 + 54z = (35 + 10z) + -3 Reorder the terms: 27 + 54z = 35 + -3 + 10z Combine like terms: 35 + -3 = 32 27 + 54z = 32 + 10z Solving 27 + 54z = 32 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 27 + 54z + -10z = 32 + 10z + -10z Combine like terms: 54z + -10z = 44z 27 + 44z = 32 + 10z + -10z Combine like terms: 10z + -10z = 0 27 + 44z = 32 + 0 27 + 44z = 32 Add '-27' to each side of the equation. 27 + -27 + 44z = 32 + -27 Combine like terms: 27 + -27 = 0 0 + 44z = 32 + -27 44z = 32 + -27 Combine like terms: 32 + -27 = 5 44z = 5 Divide each side by '44'. z = 0.1136363636 Simplifying z = 0.1136363636
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