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Simplifying 7w + -9 = 5(w + 1) Reorder the terms: -9 + 7w = 5(w + 1) Reorder the terms: -9 + 7w = 5(1 + w) -9 + 7w = (1 * 5 + w * 5) -9 + 7w = (5 + 5w) Solving -9 + 7w = 5 + 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. -9 + 7w + -5w = 5 + 5w + -5w Combine like terms: 7w + -5w = 2w -9 + 2w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 -9 + 2w = 5 + 0 -9 + 2w = 5 Add '9' to each side of the equation. -9 + 9 + 2w = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 2w = 5 + 9 2w = 5 + 9 Combine like terms: 5 + 9 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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