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Simplifying 7w + 14 = 3w + -8 Reorder the terms: 14 + 7w = 3w + -8 Reorder the terms: 14 + 7w = -8 + 3w Solving 14 + 7w = -8 + 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. 14 + 7w + -3w = -8 + 3w + -3w Combine like terms: 7w + -3w = 4w 14 + 4w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + 4w = -8 + 0 14 + 4w = -8 Add '-14' to each side of the equation. 14 + -14 + 4w = -8 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = -8 + -14 4w = -8 + -14 Combine like terms: -8 + -14 = -22 4w = -22 Divide each side by '4'. w = -5.5 Simplifying w = -5.5
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