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Simplifying 8(w + 8) = -2w + 44 Reorder the terms: 8(8 + w) = -2w + 44 (8 * 8 + w * 8) = -2w + 44 (64 + 8w) = -2w + 44 Reorder the terms: 64 + 8w = 44 + -2w Solving 64 + 8w = 44 + -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. 64 + 8w + 2w = 44 + -2w + 2w Combine like terms: 8w + 2w = 10w 64 + 10w = 44 + -2w + 2w Combine like terms: -2w + 2w = 0 64 + 10w = 44 + 0 64 + 10w = 44 Add '-64' to each side of the equation. 64 + -64 + 10w = 44 + -64 Combine like terms: 64 + -64 = 0 0 + 10w = 44 + -64 10w = 44 + -64 Combine like terms: 44 + -64 = -20 10w = -20 Divide each side by '10'. w = -2 Simplifying w = -2
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