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Simplifying 7w + -2(w + -2) = 4 + -1(4w + -1) Reorder the terms: 7w + -2(-2 + w) = 4 + -1(4w + -1) 7w + (-2 * -2 + w * -2) = 4 + -1(4w + -1) 7w + (4 + -2w) = 4 + -1(4w + -1) Reorder the terms: 4 + 7w + -2w = 4 + -1(4w + -1) Combine like terms: 7w + -2w = 5w 4 + 5w = 4 + -1(4w + -1) Reorder the terms: 4 + 5w = 4 + -1(-1 + 4w) 4 + 5w = 4 + (-1 * -1 + 4w * -1) 4 + 5w = 4 + (1 + -4w) Combine like terms: 4 + 1 = 5 4 + 5w = 5 + -4w Solving 4 + 5w = 5 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 4 + 5w + 4w = 5 + -4w + 4w Combine like terms: 5w + 4w = 9w 4 + 9w = 5 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 9w = 5 + 0 4 + 9w = 5 Add '-4' to each side of the equation. 4 + -4 + 9w = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 9w = 5 + -4 9w = 5 + -4 Combine like terms: 5 + -4 = 1 9w = 1 Divide each side by '9'. w = 0.1111111111 Simplifying w = 0.1111111111
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