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Simplifying 3(w + -2) + 8 = 2 + -2w Reorder the terms: 3(-2 + w) + 8 = 2 + -2w (-2 * 3 + w * 3) + 8 = 2 + -2w (-6 + 3w) + 8 = 2 + -2w Reorder the terms: -6 + 8 + 3w = 2 + -2w Combine like terms: -6 + 8 = 2 2 + 3w = 2 + -2w Add '-2' to each side of the equation. 2 + -2 + 3w = 2 + -2 + -2w Combine like terms: 2 + -2 = 0 0 + 3w = 2 + -2 + -2w 3w = 2 + -2 + -2w Combine like terms: 2 + -2 = 0 3w = 0 + -2w 3w = -2w Solving 3w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 3w + 2w = -2w + 2w Combine like terms: 3w + 2w = 5w 5w = -2w + 2w Combine like terms: -2w + 2w = 0 5w = 0 Divide each side by '5'. w = 0 Simplifying w = 0
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