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Simplifying 2(4z + 9) + -3(z + -4) = 0 Reorder the terms: 2(9 + 4z) + -3(z + -4) = 0 (9 * 2 + 4z * 2) + -3(z + -4) = 0 (18 + 8z) + -3(z + -4) = 0 Reorder the terms: 18 + 8z + -3(-4 + z) = 0 18 + 8z + (-4 * -3 + z * -3) = 0 18 + 8z + (12 + -3z) = 0 Reorder the terms: 18 + 12 + 8z + -3z = 0 Combine like terms: 18 + 12 = 30 30 + 8z + -3z = 0 Combine like terms: 8z + -3z = 5z 30 + 5z = 0 Solving 30 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5z = 0 + -30 5z = 0 + -30 Combine like terms: 0 + -30 = -30 5z = -30 Divide each side by '5'. z = -6 Simplifying z = -6
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