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Simplifying 42 = 4w + 14 Reorder the terms: 42 = 14 + 4w Solving 42 = 14 + 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. 42 + -4w = 14 + 4w + -4w Combine like terms: 4w + -4w = 0 42 + -4w = 14 + 0 42 + -4w = 14 Add '-42' to each side of the equation. 42 + -42 + -4w = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -4w = 14 + -42 -4w = 14 + -42 Combine like terms: 14 + -42 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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