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Simplifying -7(w + -2) = 5(-1w) Reorder the terms: -7(-2 + w) = 5(-1w) (-2 * -7 + w * -7) = 5(-1w) (14 + -7w) = 5(-1w) Remove parenthesis around (-1w) 14 + -7w = 5 * -1w Multiply 5 * -1 14 + -7w = -5w Solving 14 + -7w = -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 + -7w + 5w = -5w + 5w Combine like terms: -7w + 5w = -2w 14 + -2w = -5w + 5w Combine like terms: -5w + 5w = 0 14 + -2w = 0 Add '-14' to each side of the equation. 14 + -14 + -2w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2w = 0 + -14 -2w = 0 + -14 Combine like terms: 0 + -14 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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