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Simplifying 3w + -6 + 2(2w + 2) = -7(w + 2) Reorder the terms: 3w + -6 + 2(2 + 2w) = -7(w + 2) 3w + -6 + (2 * 2 + 2w * 2) = -7(w + 2) 3w + -6 + (4 + 4w) = -7(w + 2) Reorder the terms: -6 + 4 + 3w + 4w = -7(w + 2) Combine like terms: -6 + 4 = -2 -2 + 3w + 4w = -7(w + 2) Combine like terms: 3w + 4w = 7w -2 + 7w = -7(w + 2) Reorder the terms: -2 + 7w = -7(2 + w) -2 + 7w = (2 * -7 + w * -7) -2 + 7w = (-14 + -7w) Solving -2 + 7w = -14 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -2 + 7w + 7w = -14 + -7w + 7w Combine like terms: 7w + 7w = 14w -2 + 14w = -14 + -7w + 7w Combine like terms: -7w + 7w = 0 -2 + 14w = -14 + 0 -2 + 14w = -14 Add '2' to each side of the equation. -2 + 2 + 14w = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 14w = -14 + 2 14w = -14 + 2 Combine like terms: -14 + 2 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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