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Simplifying 2w + 14 = -4(w + 7) Reorder the terms: 14 + 2w = -4(w + 7) Reorder the terms: 14 + 2w = -4(7 + w) 14 + 2w = (7 * -4 + w * -4) 14 + 2w = (-28 + -4w) Solving 14 + 2w = -28 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 14 + 2w + 4w = -28 + -4w + 4w Combine like terms: 2w + 4w = 6w 14 + 6w = -28 + -4w + 4w Combine like terms: -4w + 4w = 0 14 + 6w = -28 + 0 14 + 6w = -28 Add '-14' to each side of the equation. 14 + -14 + 6w = -28 + -14 Combine like terms: 14 + -14 = 0 0 + 6w = -28 + -14 6w = -28 + -14 Combine like terms: -28 + -14 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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