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Simplifying 4 + 3w = 7w + 2 Reorder the terms: 4 + 3w = 2 + 7w Solving 4 + 3w = 2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 4 + 3w + -7w = 2 + 7w + -7w Combine like terms: 3w + -7w = -4w 4 + -4w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -4w = 2 + 0 4 + -4w = 2 Add '-4' to each side of the equation. 4 + -4 + -4w = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -4w = 2 + -4 -4w = 2 + -4 Combine like terms: 2 + -4 = -2 -4w = -2 Divide each side by '-4'. w = 0.5 Simplifying w = 0.5
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