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Simplifying 2(7 + -1w) = 2 + -5w (7 * 2 + -1w * 2) = 2 + -5w (14 + -2w) = 2 + -5w Solving 14 + -2w = 2 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 14 + -2w + 5w = 2 + -5w + 5w Combine like terms: -2w + 5w = 3w 14 + 3w = 2 + -5w + 5w Combine like terms: -5w + 5w = 0 14 + 3w = 2 + 0 14 + 3w = 2 Add '-14' to each side of the equation. 14 + -14 + 3w = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 3w = 2 + -14 3w = 2 + -14 Combine like terms: 2 + -14 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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