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Simplifying 4(3z + -7) + 9(5z + 4) = 0 Reorder the terms: 4(-7 + 3z) + 9(5z + 4) = 0 (-7 * 4 + 3z * 4) + 9(5z + 4) = 0 (-28 + 12z) + 9(5z + 4) = 0 Reorder the terms: -28 + 12z + 9(4 + 5z) = 0 -28 + 12z + (4 * 9 + 5z * 9) = 0 -28 + 12z + (36 + 45z) = 0 Reorder the terms: -28 + 36 + 12z + 45z = 0 Combine like terms: -28 + 36 = 8 8 + 12z + 45z = 0 Combine like terms: 12z + 45z = 57z 8 + 57z = 0 Solving 8 + 57z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 57z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 57z = 0 + -8 57z = 0 + -8 Combine like terms: 0 + -8 = -8 57z = -8 Divide each side by '57'. z = -0.1403508772 Simplifying z = -0.1403508772
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