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Simplifying -5w + 1 = -7(w + -1) Reorder the terms: 1 + -5w = -7(w + -1) Reorder the terms: 1 + -5w = -7(-1 + w) 1 + -5w = (-1 * -7 + w * -7) 1 + -5w = (7 + -7w) Solving 1 + -5w = 7 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 1 + -5w + 7w = 7 + -7w + 7w Combine like terms: -5w + 7w = 2w 1 + 2w = 7 + -7w + 7w Combine like terms: -7w + 7w = 0 1 + 2w = 7 + 0 1 + 2w = 7 Add '-1' to each side of the equation. 1 + -1 + 2w = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 7 + -1 2w = 7 + -1 Combine like terms: 7 + -1 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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