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Simplifying -3w + -20 = -5(w + 2) Reorder the terms: -20 + -3w = -5(w + 2) Reorder the terms: -20 + -3w = -5(2 + w) -20 + -3w = (2 * -5 + w * -5) -20 + -3w = (-10 + -5w) Solving -20 + -3w = -10 + -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. -20 + -3w + 5w = -10 + -5w + 5w Combine like terms: -3w + 5w = 2w -20 + 2w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 -20 + 2w = -10 + 0 -20 + 2w = -10 Add '20' to each side of the equation. -20 + 20 + 2w = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 2w = -10 + 20 2w = -10 + 20 Combine like terms: -10 + 20 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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