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Simplifying 2(9w + 6z) + 9(2z) = 0 (9w * 2 + 6z * 2) + 9(2z) = 0 (18w + 12z) + 9(2z) = 0 Remove parenthesis around (2z) 18w + 12z + 9 * 2z = 0 Multiply 9 * 2 18w + 12z + 18z = 0 Combine like terms: 12z + 18z = 30z 18w + 30z = 0 Solving 18w + 30z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30z' to each side of the equation. 18w + 30z + -30z = 0 + -30z Combine like terms: 30z + -30z = 0 18w + 0 = 0 + -30z 18w = 0 + -30z Remove the zero: 18w = -30z Divide each side by '18'. w = -1.666666667z Simplifying w = -1.666666667z
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