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Simplifying 7w + -45 = 2(w + 5) Reorder the terms: -45 + 7w = 2(w + 5) Reorder the terms: -45 + 7w = 2(5 + w) -45 + 7w = (5 * 2 + w * 2) -45 + 7w = (10 + 2w) Solving -45 + 7w = 10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -45 + 7w + -2w = 10 + 2w + -2w Combine like terms: 7w + -2w = 5w -45 + 5w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -45 + 5w = 10 + 0 -45 + 5w = 10 Add '45' to each side of the equation. -45 + 45 + 5w = 10 + 45 Combine like terms: -45 + 45 = 0 0 + 5w = 10 + 45 5w = 10 + 45 Combine like terms: 10 + 45 = 55 5w = 55 Divide each side by '5'. w = 11 Simplifying w = 11
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