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Simplifying 2 = 3(w + -2) + -5w Reorder the terms: 2 = 3(-2 + w) + -5w 2 = (-2 * 3 + w * 3) + -5w 2 = (-6 + 3w) + -5w Combine like terms: 3w + -5w = -2w 2 = -6 + -2w Solving 2 = -6 + -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. 2 + 2w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = -6 + 0 2 + 2w = -6 Add '-2' to each side of the equation. 2 + -2 + 2w = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -6 + -2 2w = -6 + -2 Combine like terms: -6 + -2 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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