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Simplifying 14w + 2 + -6w = 4(w + 3) Reorder the terms: 2 + 14w + -6w = 4(w + 3) Combine like terms: 14w + -6w = 8w 2 + 8w = 4(w + 3) Reorder the terms: 2 + 8w = 4(3 + w) 2 + 8w = (3 * 4 + w * 4) 2 + 8w = (12 + 4w) Solving 2 + 8w = 12 + 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. 2 + 8w + -4w = 12 + 4w + -4w Combine like terms: 8w + -4w = 4w 2 + 4w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + 4w = 12 + 0 2 + 4w = 12 Add '-2' to each side of the equation. 2 + -2 + 4w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 12 + -2 4w = 12 + -2 Combine like terms: 12 + -2 = 10 4w = 10 Divide each side by '4'. w = 2.5 Simplifying w = 2.5
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