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Simplifying 7(w + -2) = (-14 + -3w) Reorder the terms: 7(-2 + w) = (-14 + -3w) (-2 * 7 + w * 7) = (-14 + -3w) (-14 + 7w) = (-14 + -3w) Remove parenthesis around (-14 + -3w) -14 + 7w = -14 + -3w Add '14' to each side of the equation. -14 + 14 + 7w = -14 + 14 + -3w Combine like terms: -14 + 14 = 0 0 + 7w = -14 + 14 + -3w 7w = -14 + 14 + -3w Combine like terms: -14 + 14 = 0 7w = 0 + -3w 7w = -3w Solving 7w = -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. 7w + 3w = -3w + 3w Combine like terms: 7w + 3w = 10w 10w = -3w + 3w Combine like terms: -3w + 3w = 0 10w = 0 Divide each side by '10'. w = 0.0 Simplifying w = 0.0
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