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Simplifying 4w + 20 = 3w + 22 Reorder the terms: 20 + 4w = 3w + 22 Reorder the terms: 20 + 4w = 22 + 3w Solving 20 + 4w = 22 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 20 + 4w + -3w = 22 + 3w + -3w Combine like terms: 4w + -3w = 1w 20 + 1w = 22 + 3w + -3w Combine like terms: 3w + -3w = 0 20 + 1w = 22 + 0 20 + 1w = 22 Add '-20' to each side of the equation. 20 + -20 + 1w = 22 + -20 Combine like terms: 20 + -20 = 0 0 + 1w = 22 + -20 1w = 22 + -20 Combine like terms: 22 + -20 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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