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Simplifying 5(w + -4) + 45 = 3(w + 2) Reorder the terms: 5(-4 + w) + 45 = 3(w + 2) (-4 * 5 + w * 5) + 45 = 3(w + 2) (-20 + 5w) + 45 = 3(w + 2) Reorder the terms: -20 + 45 + 5w = 3(w + 2) Combine like terms: -20 + 45 = 25 25 + 5w = 3(w + 2) Reorder the terms: 25 + 5w = 3(2 + w) 25 + 5w = (2 * 3 + w * 3) 25 + 5w = (6 + 3w) Solving 25 + 5w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 25 + 5w + -3w = 6 + 3w + -3w Combine like terms: 5w + -3w = 2w 25 + 2w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 25 + 2w = 6 + 0 25 + 2w = 6 Add '-25' to each side of the equation. 25 + -25 + 2w = 6 + -25 Combine like terms: 25 + -25 = 0 0 + 2w = 6 + -25 2w = 6 + -25 Combine like terms: 6 + -25 = -19 2w = -19 Divide each side by '2'. w = -9.5 Simplifying w = -9.5
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