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Simplifying 2(w + -2) + 8 = 4 + -7w Reorder the terms: 2(-2 + w) + 8 = 4 + -7w (-2 * 2 + w * 2) + 8 = 4 + -7w (-4 + 2w) + 8 = 4 + -7w Reorder the terms: -4 + 8 + 2w = 4 + -7w Combine like terms: -4 + 8 = 4 4 + 2w = 4 + -7w Add '-4' to each side of the equation. 4 + -4 + 2w = 4 + -4 + -7w Combine like terms: 4 + -4 = 0 0 + 2w = 4 + -4 + -7w 2w = 4 + -4 + -7w Combine like terms: 4 + -4 = 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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