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Simplifying -6(3w + -1x + -4) = 0 Reorder the terms: -6(-4 + 3w + -1x) = 0 (-4 * -6 + 3w * -6 + -1x * -6) = 0 (24 + -18w + 6x) = 0 Solving 24 + -18w + 6x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -18w + -24 + 6x = 0 + -24 Reorder the terms: 24 + -24 + -18w + 6x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -18w + 6x = 0 + -24 -18w + 6x = 0 + -24 Combine like terms: 0 + -24 = -24 -18w + 6x = -24 Add '-6x' to each side of the equation. -18w + 6x + -6x = -24 + -6x Combine like terms: 6x + -6x = 0 -18w + 0 = -24 + -6x -18w = -24 + -6x Divide each side by '-18'. w = 1.333333333 + 0.3333333333x Simplifying w = 1.333333333 + 0.3333333333x
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