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Simplifying 5w + 9 = 7(w + 3) Reorder the terms: 9 + 5w = 7(w + 3) Reorder the terms: 9 + 5w = 7(3 + w) 9 + 5w = (3 * 7 + w * 7) 9 + 5w = (21 + 7w) Solving 9 + 5w = 21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 9 + 5w + -7w = 21 + 7w + -7w Combine like terms: 5w + -7w = -2w 9 + -2w = 21 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + -2w = 21 + 0 9 + -2w = 21 Add '-9' to each side of the equation. 9 + -9 + -2w = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -2w = 21 + -9 -2w = 21 + -9 Combine like terms: 21 + -9 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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