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Simplifying (2w + 3) + -1(w + -4) + (w + 2) = 0 Reorder the terms: (3 + 2w) + -1(w + -4) + (w + 2) = 0 Remove parenthesis around (3 + 2w) 3 + 2w + -1(w + -4) + (w + 2) = 0 Reorder the terms: 3 + 2w + -1(-4 + w) + (w + 2) = 0 3 + 2w + (-4 * -1 + w * -1) + (w + 2) = 0 3 + 2w + (4 + -1w) + (w + 2) = 0 Reorder the terms: 3 + 2w + 4 + -1w + (2 + w) = 0 Remove parenthesis around (2 + w) 3 + 2w + 4 + -1w + 2 + w = 0 Reorder the terms: 3 + 4 + 2 + 2w + -1w + w = 0 Combine like terms: 3 + 4 = 7 7 + 2 + 2w + -1w + w = 0 Combine like terms: 7 + 2 = 9 9 + 2w + -1w + w = 0 Combine like terms: 2w + -1w = 1w 9 + 1w + w = 0 Combine like terms: 1w + w = 2w 9 + 2w = 0 Solving 9 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 0 + -9 2w = 0 + -9 Combine like terms: 0 + -9 = -9 2w = -9 Divide each side by '2'. w = -4.5 Simplifying w = -4.5
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