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Simplifying -3(2z + 3w) + 8w = 0 Reorder the terms: -3(3w + 2z) + 8w = 0 (3w * -3 + 2z * -3) + 8w = 0 (-9w + -6z) + 8w = 0 Reorder the terms: -9w + 8w + -6z = 0 Combine like terms: -9w + 8w = -1w -1w + -6z = 0 Solving -1w + -6z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6z' to each side of the equation. -1w + -6z + 6z = 0 + 6z Combine like terms: -6z + 6z = 0 -1w + 0 = 0 + 6z -1w = 0 + 6z Remove the zero: -1w = 6z Divide each side by '-1'. w = -6z Simplifying w = -6z
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