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Simplifying 2w + 14 = -2(w + -3) Reorder the terms: 14 + 2w = -2(w + -3) Reorder the terms: 14 + 2w = -2(-3 + w) 14 + 2w = (-3 * -2 + w * -2) 14 + 2w = (6 + -2w) Solving 14 + 2w = 6 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 14 + 2w + 2w = 6 + -2w + 2w Combine like terms: 2w + 2w = 4w 14 + 4w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + 4w = 6 + 0 14 + 4w = 6 Add '-14' to each side of the equation. 14 + -14 + 4w = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = 6 + -14 4w = 6 + -14 Combine like terms: 6 + -14 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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