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Simplifying 3(3z + 9) + -4(z + -2) = 0 Reorder the terms: 3(9 + 3z) + -4(z + -2) = 0 (9 * 3 + 3z * 3) + -4(z + -2) = 0 (27 + 9z) + -4(z + -2) = 0 Reorder the terms: 27 + 9z + -4(-2 + z) = 0 27 + 9z + (-2 * -4 + z * -4) = 0 27 + 9z + (8 + -4z) = 0 Reorder the terms: 27 + 8 + 9z + -4z = 0 Combine like terms: 27 + 8 = 35 35 + 9z + -4z = 0 Combine like terms: 9z + -4z = 5z 35 + 5z = 0 Solving 35 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 5z = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 5z = 0 + -35 5z = 0 + -35 Combine like terms: 0 + -35 = -35 5z = -35 Divide each side by '5'. z = -7 Simplifying z = -7
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