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Simplifying 2 = -7w + 5(w + -2) Reorder the terms: 2 = -7w + 5(-2 + w) 2 = -7w + (-2 * 5 + w * 5) 2 = -7w + (-10 + 5w) Reorder the terms: 2 = -10 + -7w + 5w Combine like terms: -7w + 5w = -2w 2 = -10 + -2w Solving 2 = -10 + -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 = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = -10 + 0 2 + 2w = -10 Add '-2' to each side of the equation. 2 + -2 + 2w = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -10 + -2 2w = -10 + -2 Combine like terms: -10 + -2 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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