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Simplifying 5w + 7 = 3(w + 9) Reorder the terms: 7 + 5w = 3(w + 9) Reorder the terms: 7 + 5w = 3(9 + w) 7 + 5w = (9 * 3 + w * 3) 7 + 5w = (27 + 3w) Solving 7 + 5w = 27 + 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. 7 + 5w + -3w = 27 + 3w + -3w Combine like terms: 5w + -3w = 2w 7 + 2w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 2w = 27 + 0 7 + 2w = 27 Add '-7' to each side of the equation. 7 + -7 + 2w = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 27 + -7 2w = 27 + -7 Combine like terms: 27 + -7 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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