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Simplifying 2(w + -3) + 8 = 2 + -5w Reorder the terms: 2(-3 + w) + 8 = 2 + -5w (-3 * 2 + w * 2) + 8 = 2 + -5w (-6 + 2w) + 8 = 2 + -5w Reorder the terms: -6 + 8 + 2w = 2 + -5w Combine like terms: -6 + 8 = 2 2 + 2w = 2 + -5w Add '-2' to each side of the equation. 2 + -2 + 2w = 2 + -2 + -5w Combine like terms: 2 + -2 = 0 0 + 2w = 2 + -2 + -5w 2w = 2 + -2 + -5w Combine like terms: 2 + -2 = 0 2w = 0 + -5w 2w = -5w Solving 2w = -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. 2w + 5w = -5w + 5w Combine like terms: 2w + 5w = 7w 7w = -5w + 5w Combine like terms: -5w + 5w = 0 7w = 0 Divide each side by '7'. w = 0 Simplifying w = 0
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