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Simplifying 2(4w + w2) + -6 = 2w(w + -4) + 10 (4w * 2 + w2 * 2) + -6 = 2w(w + -4) + 10 (8w + 2w2) + -6 = 2w(w + -4) + 10 Reorder the terms: -6 + 8w + 2w2 = 2w(w + -4) + 10 Reorder the terms: -6 + 8w + 2w2 = 2w(-4 + w) + 10 -6 + 8w + 2w2 = (-4 * 2w + w * 2w) + 10 -6 + 8w + 2w2 = (-8w + 2w2) + 10 Reorder the terms: -6 + 8w + 2w2 = 10 + -8w + 2w2 Add '-2w2' to each side of the equation. -6 + 8w + 2w2 + -2w2 = 10 + -8w + 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -6 + 8w + 0 = 10 + -8w + 2w2 + -2w2 -6 + 8w = 10 + -8w + 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -6 + 8w = 10 + -8w + 0 -6 + 8w = 10 + -8w Solving -6 + 8w = 10 + -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 = 10 + -8w + 8w Combine like terms: 8w + 8w = 16w -6 + 16w = 10 + -8w + 8w Combine like terms: -8w + 8w = 0 -6 + 16w = 10 + 0 -6 + 16w = 10 Add '6' to each side of the equation. -6 + 6 + 16w = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 16w = 10 + 6 16w = 10 + 6 Combine like terms: 10 + 6 = 16 16w = 16 Divide each side by '16'. w = 1 Simplifying w = 1
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