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Simplifying -2w + 24 = -4(w + -4) Reorder the terms: 24 + -2w = -4(w + -4) Reorder the terms: 24 + -2w = -4(-4 + w) 24 + -2w = (-4 * -4 + w * -4) 24 + -2w = (16 + -4w) Solving 24 + -2w = 16 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 24 + -2w + 4w = 16 + -4w + 4w Combine like terms: -2w + 4w = 2w 24 + 2w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 24 + 2w = 16 + 0 24 + 2w = 16 Add '-24' to each side of the equation. 24 + -24 + 2w = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 2w = 16 + -24 2w = 16 + -24 Combine like terms: 16 + -24 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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