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Simplifying -4w + 24 = -2(w + -3) Reorder the terms: 24 + -4w = -2(w + -3) Reorder the terms: 24 + -4w = -2(-3 + w) 24 + -4w = (-3 * -2 + w * -2) 24 + -4w = (6 + -2w) Solving 24 + -4w = 6 + -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 + -4w + 2w = 6 + -2w + 2w Combine like terms: -4w + 2w = -2w 24 + -2w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 24 + -2w = 6 + 0 24 + -2w = 6 Add '-24' to each side of the equation. 24 + -24 + -2w = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -2w = 6 + -24 -2w = 6 + -24 Combine like terms: 6 + -24 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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