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Simplifying 7w + -49 = 5(w + -7) Reorder the terms: -49 + 7w = 5(w + -7) Reorder the terms: -49 + 7w = 5(-7 + w) -49 + 7w = (-7 * 5 + w * 5) -49 + 7w = (-35 + 5w) Solving -49 + 7w = -35 + 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. -49 + 7w + -5w = -35 + 5w + -5w Combine like terms: 7w + -5w = 2w -49 + 2w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 -49 + 2w = -35 + 0 -49 + 2w = -35 Add '49' to each side of the equation. -49 + 49 + 2w = -35 + 49 Combine like terms: -49 + 49 = 0 0 + 2w = -35 + 49 2w = -35 + 49 Combine like terms: -35 + 49 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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