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Simplifying 9w + -48 = -5(w + 4) Reorder the terms: -48 + 9w = -5(w + 4) Reorder the terms: -48 + 9w = -5(4 + w) -48 + 9w = (4 * -5 + w * -5) -48 + 9w = (-20 + -5w) Solving -48 + 9w = -20 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -48 + 9w + 5w = -20 + -5w + 5w Combine like terms: 9w + 5w = 14w -48 + 14w = -20 + -5w + 5w Combine like terms: -5w + 5w = 0 -48 + 14w = -20 + 0 -48 + 14w = -20 Add '48' to each side of the equation. -48 + 48 + 14w = -20 + 48 Combine like terms: -48 + 48 = 0 0 + 14w = -20 + 48 14w = -20 + 48 Combine like terms: -20 + 48 = 28 14w = 28 Divide each side by '14'. w = 2 Simplifying w = 2
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