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Simplifying 3w + 43 = 5(w + 5) Reorder the terms: 43 + 3w = 5(w + 5) Reorder the terms: 43 + 3w = 5(5 + w) 43 + 3w = (5 * 5 + w * 5) 43 + 3w = (25 + 5w) Solving 43 + 3w = 25 + 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. 43 + 3w + -5w = 25 + 5w + -5w Combine like terms: 3w + -5w = -2w 43 + -2w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 43 + -2w = 25 + 0 43 + -2w = 25 Add '-43' to each side of the equation. 43 + -43 + -2w = 25 + -43 Combine like terms: 43 + -43 = 0 0 + -2w = 25 + -43 -2w = 25 + -43 Combine like terms: 25 + -43 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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