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Simplifying 4w(w + -6) + -2w2 = 2w2 + 8w + -4 Reorder the terms: 4w(-6 + w) + -2w2 = 2w2 + 8w + -4 (-6 * 4w + w * 4w) + -2w2 = 2w2 + 8w + -4 (-24w + 4w2) + -2w2 = 2w2 + 8w + -4 Combine like terms: 4w2 + -2w2 = 2w2 -24w + 2w2 = 2w2 + 8w + -4 Reorder the terms: -24w + 2w2 = -4 + 8w + 2w2 Add '-2w2' to each side of the equation. -24w + 2w2 + -2w2 = -4 + 8w + 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -24w + 0 = -4 + 8w + 2w2 + -2w2 -24w = -4 + 8w + 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -24w = -4 + 8w + 0 -24w = -4 + 8w Solving -24w = -4 + 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. -24w + -8w = -4 + 8w + -8w Combine like terms: -24w + -8w = -32w -32w = -4 + 8w + -8w Combine like terms: 8w + -8w = 0 -32w = -4 + 0 -32w = -4 Divide each side by '-32'. w = 0.125 Simplifying w = 0.125
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