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Simplifying -8w + -24 = 2(w + 8) Reorder the terms: -24 + -8w = 2(w + 8) Reorder the terms: -24 + -8w = 2(8 + w) -24 + -8w = (8 * 2 + w * 2) -24 + -8w = (16 + 2w) Solving -24 + -8w = 16 + 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 + -8w + -2w = 16 + 2w + -2w Combine like terms: -8w + -2w = -10w -24 + -10w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + -10w = 16 + 0 -24 + -10w = 16 Add '24' to each side of the equation. -24 + 24 + -10w = 16 + 24 Combine like terms: -24 + 24 = 0 0 + -10w = 16 + 24 -10w = 16 + 24 Combine like terms: 16 + 24 = 40 -10w = 40 Divide each side by '-10'. w = -4 Simplifying w = -4
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