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Simplifying 2(w + -1) + 7 = 5 + -7w Reorder the terms: 2(-1 + w) + 7 = 5 + -7w (-1 * 2 + w * 2) + 7 = 5 + -7w (-2 + 2w) + 7 = 5 + -7w Reorder the terms: -2 + 7 + 2w = 5 + -7w Combine like terms: -2 + 7 = 5 5 + 2w = 5 + -7w Add '-5' to each side of the equation. 5 + -5 + 2w = 5 + -5 + -7w Combine like terms: 5 + -5 = 0 0 + 2w = 5 + -5 + -7w 2w = 5 + -5 + -7w Combine like terms: 5 + -5 = 0 2w = 0 + -7w 2w = -7w Solving 2w = -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. 2w + 7w = -7w + 7w Combine like terms: 2w + 7w = 9w 9w = -7w + 7w Combine like terms: -7w + 7w = 0 9w = 0 Divide each side by '9'. w = 0 Simplifying w = 0
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