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Simplifying 3(4z + -5) + 9(2z + 3) = 0 Reorder the terms: 3(-5 + 4z) + 9(2z + 3) = 0 (-5 * 3 + 4z * 3) + 9(2z + 3) = 0 (-15 + 12z) + 9(2z + 3) = 0 Reorder the terms: -15 + 12z + 9(3 + 2z) = 0 -15 + 12z + (3 * 9 + 2z * 9) = 0 -15 + 12z + (27 + 18z) = 0 Reorder the terms: -15 + 27 + 12z + 18z = 0 Combine like terms: -15 + 27 = 12 12 + 12z + 18z = 0 Combine like terms: 12z + 18z = 30z 12 + 30z = 0 Solving 12 + 30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 30z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 30z = 0 + -12 30z = 0 + -12 Combine like terms: 0 + -12 = -12 30z = -12 Divide each side by '30'. z = -0.4 Simplifying z = -0.4
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