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Simplifying -9w + -44 = 4(w + 2) Reorder the terms: -44 + -9w = 4(w + 2) Reorder the terms: -44 + -9w = 4(2 + w) -44 + -9w = (2 * 4 + w * 4) -44 + -9w = (8 + 4w) Solving -44 + -9w = 8 + 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 + -9w + -4w = 8 + 4w + -4w Combine like terms: -9w + -4w = -13w -44 + -13w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 -44 + -13w = 8 + 0 -44 + -13w = 8 Add '44' to each side of the equation. -44 + 44 + -13w = 8 + 44 Combine like terms: -44 + 44 = 0 0 + -13w = 8 + 44 -13w = 8 + 44 Combine like terms: 8 + 44 = 52 -13w = 52 Divide each side by '-13'. w = -4 Simplifying w = -4
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