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Simplifying -2w + -44 = -4(w + 7) Reorder the terms: -44 + -2w = -4(w + 7) Reorder the terms: -44 + -2w = -4(7 + w) -44 + -2w = (7 * -4 + w * -4) -44 + -2w = (-28 + -4w) Solving -44 + -2w = -28 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -44 + -2w + 4w = -28 + -4w + 4w Combine like terms: -2w + 4w = 2w -44 + 2w = -28 + -4w + 4w Combine like terms: -4w + 4w = 0 -44 + 2w = -28 + 0 -44 + 2w = -28 Add '44' to each side of the equation. -44 + 44 + 2w = -28 + 44 Combine like terms: -44 + 44 = 0 0 + 2w = -28 + 44 2w = -28 + 44 Combine like terms: -28 + 44 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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