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Simplifying 7(w + -2) = 5w + -32 Reorder the terms: 7(-2 + w) = 5w + -32 (-2 * 7 + w * 7) = 5w + -32 (-14 + 7w) = 5w + -32 Reorder the terms: -14 + 7w = -32 + 5w Solving -14 + 7w = -32 + 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. -14 + 7w + -5w = -32 + 5w + -5w Combine like terms: 7w + -5w = 2w -14 + 2w = -32 + 5w + -5w Combine like terms: 5w + -5w = 0 -14 + 2w = -32 + 0 -14 + 2w = -32 Add '14' to each side of the equation. -14 + 14 + 2w = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = -32 + 14 2w = -32 + 14 Combine like terms: -32 + 14 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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