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Simplifying 2w + -44 = -8(w + 3) Reorder the terms: -44 + 2w = -8(w + 3) Reorder the terms: -44 + 2w = -8(3 + w) -44 + 2w = (3 * -8 + w * -8) -44 + 2w = (-24 + -8w) Solving -44 + 2w = -24 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -44 + 2w + 8w = -24 + -8w + 8w Combine like terms: 2w + 8w = 10w -44 + 10w = -24 + -8w + 8w Combine like terms: -8w + 8w = 0 -44 + 10w = -24 + 0 -44 + 10w = -24 Add '44' to each side of the equation. -44 + 44 + 10w = -24 + 44 Combine like terms: -44 + 44 = 0 0 + 10w = -24 + 44 10w = -24 + 44 Combine like terms: -24 + 44 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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