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