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Simplifying -3(4y + -2w + -6) = 0 Reorder the terms: -3(-6 + -2w + 4y) = 0 (-6 * -3 + -2w * -3 + 4y * -3) = 0 (18 + 6w + -12y) = 0 Solving 18 + 6w + -12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6w + -18 + -12y = 0 + -18 Reorder the terms: 18 + -18 + 6w + -12y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6w + -12y = 0 + -18 6w + -12y = 0 + -18 Combine like terms: 0 + -18 = -18 6w + -12y = -18 Add '12y' to each side of the equation. 6w + -12y + 12y = -18 + 12y Combine like terms: -12y + 12y = 0 6w + 0 = -18 + 12y 6w = -18 + 12y Divide each side by '6'. w = -3 + 2y Simplifying w = -3 + 2y
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