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Simplifying -1(-3x + 5z + -9w) = 0 Reorder the terms: -1(-9w + -3x + 5z) = 0 (-9w * -1 + -3x * -1 + 5z * -1) = 0 (9w + 3x + -5z) = 0 Solving 9w + 3x + -5z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 9w + 3x + -3x + -5z = 0 + -3x Combine like terms: 3x + -3x = 0 9w + 0 + -5z = 0 + -3x 9w + -5z = 0 + -3x Remove the zero: 9w + -5z = -3x Add '5z' to each side of the equation. 9w + -5z + 5z = -3x + 5z Combine like terms: -5z + 5z = 0 9w + 0 = -3x + 5z 9w = -3x + 5z Divide each side by '9'. w = -0.3333333333x + 0.5555555556z Simplifying w = -0.3333333333x + 0.5555555556z
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