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Simplifying 3w + 40 = 4w + 20 Reorder the terms: 40 + 3w = 4w + 20 Reorder the terms: 40 + 3w = 20 + 4w Solving 40 + 3w = 20 + 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. 40 + 3w + -4w = 20 + 4w + -4w Combine like terms: 3w + -4w = -1w 40 + -1w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 40 + -1w = 20 + 0 40 + -1w = 20 Add '-40' to each side of the equation. 40 + -40 + -1w = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -1w = 20 + -40 -1w = 20 + -40 Combine like terms: 20 + -40 = -20 -1w = -20 Divide each side by '-1'. w = 20 Simplifying w = 20
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