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Simplifying -8(3x + -2w + -3) = 0 Reorder the terms: -8(-3 + -2w + 3x) = 0 (-3 * -8 + -2w * -8 + 3x * -8) = 0 (24 + 16w + -24x) = 0 Solving 24 + 16w + -24x = 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 + 16w + -24 + -24x = 0 + -24 Reorder the terms: 24 + -24 + 16w + -24x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16w + -24x = 0 + -24 16w + -24x = 0 + -24 Combine like terms: 0 + -24 = -24 16w + -24x = -24 Add '24x' to each side of the equation. 16w + -24x + 24x = -24 + 24x Combine like terms: -24x + 24x = 0 16w + 0 = -24 + 24x 16w = -24 + 24x Divide each side by '16'. w = -1.5 + 1.5x Simplifying w = -1.5 + 1.5x
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