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Simplifying (7w + 4) + -1(2w + -1) = 0 Reorder the terms: (4 + 7w) + -1(2w + -1) = 0 Remove parenthesis around (4 + 7w) 4 + 7w + -1(2w + -1) = 0 Reorder the terms: 4 + 7w + -1(-1 + 2w) = 0 4 + 7w + (-1 * -1 + 2w * -1) = 0 4 + 7w + (1 + -2w) = 0 Reorder the terms: 4 + 1 + 7w + -2w = 0 Combine like terms: 4 + 1 = 5 5 + 7w + -2w = 0 Combine like terms: 7w + -2w = 5w 5 + 5w = 0 Solving 5 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5w = 0 + -5 5w = 0 + -5 Combine like terms: 0 + -5 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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