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Simplifying 3z + -3(3 + a) * z = 0 Reorder the terms for easier multiplication: 3z + -3z(3 + a) = 0 3z + (3 * -3z + a * -3z) = 0 Reorder the terms: 3z + (-3az + -9z) = 0 3z + (-3az + -9z) = 0 Reorder the terms: -3az + 3z + -9z = 0 Combine like terms: 3z + -9z = -6z -3az + -6z = 0 Solving -3az + -6z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6z' to each side of the equation. -3az + -6z + 6z = 0 + 6z Combine like terms: -6z + 6z = 0 -3az + 0 = 0 + 6z -3az = 0 + 6z Remove the zero: -3az = 6z Divide each side by '-3z'. a = -2 Simplifying a = -2
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