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Simplifying (4 + -3w) + -1(2 + -5w) = 0 Remove parenthesis around (4 + -3w) 4 + -3w + -1(2 + -5w) = 0 4 + -3w + (2 * -1 + -5w * -1) = 0 4 + -3w + (-2 + 5w) = 0 Reorder the terms: 4 + -2 + -3w + 5w = 0 Combine like terms: 4 + -2 = 2 2 + -3w + 5w = 0 Combine like terms: -3w + 5w = 2w 2 + 2w = 0 Solving 2 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 0 + -2 2w = 0 + -2 Combine like terms: 0 + -2 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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