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