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Simplifying 7w + -3 = 5(w + -1) Reorder the terms: -3 + 7w = 5(w + -1) Reorder the terms: -3 + 7w = 5(-1 + w) -3 + 7w = (-1 * 5 + w * 5) -3 + 7w = (-5 + 5w) Solving -3 + 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. -3 + 7w + -5w = -5 + 5w + -5w Combine like terms: 7w + -5w = 2w -3 + 2w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -3 + 2w = -5 + 0 -3 + 2w = -5 Add '3' to each side of the equation. -3 + 3 + 2w = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = -5 + 3 2w = -5 + 3 Combine like terms: -5 + 3 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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