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Simplifying -4w + -49 = -9(w + 1) Reorder the terms: -49 + -4w = -9(w + 1) Reorder the terms: -49 + -4w = -9(1 + w) -49 + -4w = (1 * -9 + w * -9) -49 + -4w = (-9 + -9w) Solving -49 + -4w = -9 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -49 + -4w + 9w = -9 + -9w + 9w Combine like terms: -4w + 9w = 5w -49 + 5w = -9 + -9w + 9w Combine like terms: -9w + 9w = 0 -49 + 5w = -9 + 0 -49 + 5w = -9 Add '49' to each side of the equation. -49 + 49 + 5w = -9 + 49 Combine like terms: -49 + 49 = 0 0 + 5w = -9 + 49 5w = -9 + 49 Combine like terms: -9 + 49 = 40 5w = 40 Divide each side by '5'. w = 8 Simplifying w = 8
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