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Simplifying 2(w + 7) = 1 + -1(4 + 3w) Reorder the terms: 2(7 + w) = 1 + -1(4 + 3w) (7 * 2 + w * 2) = 1 + -1(4 + 3w) (14 + 2w) = 1 + -1(4 + 3w) 14 + 2w = 1 + (4 * -1 + 3w * -1) 14 + 2w = 1 + (-4 + -3w) Combine like terms: 1 + -4 = -3 14 + 2w = -3 + -3w Solving 14 + 2w = -3 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 14 + 2w + 3w = -3 + -3w + 3w Combine like terms: 2w + 3w = 5w 14 + 5w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 14 + 5w = -3 + 0 14 + 5w = -3 Add '-14' to each side of the equation. 14 + -14 + 5w = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 5w = -3 + -14 5w = -3 + -14 Combine like terms: -3 + -14 = -17 5w = -17 Divide each side by '5'. w = -3.4 Simplifying w = -3.4
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