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Simplifying -7(w + -2) = (3 + -1w) Reorder the terms: -7(-2 + w) = (3 + -1w) (-2 * -7 + w * -7) = (3 + -1w) (14 + -7w) = (3 + -1w) Remove parenthesis around (3 + -1w) 14 + -7w = 3 + -1w Solving 14 + -7w = 3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 14 + -7w + w = 3 + -1w + w Combine like terms: -7w + w = -6w 14 + -6w = 3 + -1w + w Combine like terms: -1w + w = 0 14 + -6w = 3 + 0 14 + -6w = 3 Add '-14' to each side of the equation. 14 + -14 + -6w = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -6w = 3 + -14 -6w = 3 + -14 Combine like terms: 3 + -14 = -11 -6w = -11 Divide each side by '-6'. w = 1.833333333 Simplifying w = 1.833333333
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