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Simplifying 5(w + -7) = 3w + 5 Reorder the terms: 5(-7 + w) = 3w + 5 (-7 * 5 + w * 5) = 3w + 5 (-35 + 5w) = 3w + 5 Reorder the terms: -35 + 5w = 5 + 3w Solving -35 + 5w = 5 + 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. -35 + 5w + -3w = 5 + 3w + -3w Combine like terms: 5w + -3w = 2w -35 + 2w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 -35 + 2w = 5 + 0 -35 + 2w = 5 Add '35' to each side of the equation. -35 + 35 + 2w = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 2w = 5 + 35 2w = 5 + 35 Combine like terms: 5 + 35 = 40 2w = 40 Divide each side by '2'. w = 20 Simplifying w = 20
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