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Simplifying 2(4w + w2) + -6 = 2w(w + -4) (4w * 2 + w2 * 2) + -6 = 2w(w + -4) (8w + 2w2) + -6 = 2w(w + -4) Reorder the terms: -6 + 8w + 2w2 = 2w(w + -4) Reorder the terms: -6 + 8w + 2w2 = 2w(-4 + w) -6 + 8w + 2w2 = (-4 * 2w + w * 2w) -6 + 8w + 2w2 = (-8w + 2w2) Add '-2w2' to each side of the equation. -6 + 8w + 2w2 + -2w2 = -8w + 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -6 + 8w + 0 = -8w + 2w2 + -2w2 -6 + 8w = -8w + 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -6 + 8w = -8w + 0 -6 + 8w = -8w Solving -6 + 8w = -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -6 + 8w + 8w = -8w + 8w Combine like terms: 8w + 8w = 16w -6 + 16w = -8w + 8w Combine like terms: -8w + 8w = 0 -6 + 16w = 0 Add '6' to each side of the equation. -6 + 6 + 16w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 16w = 0 + 6 16w = 0 + 6 Combine like terms: 0 + 6 = 6 16w = 6 Divide each side by '16'. w = 0.375 Simplifying w = 0.375
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