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Simplifying 3w + 20 = 4w + 7 Reorder the terms: 20 + 3w = 4w + 7 Reorder the terms: 20 + 3w = 7 + 4w Solving 20 + 3w = 7 + 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. 20 + 3w + -4w = 7 + 4w + -4w Combine like terms: 3w + -4w = -1w 20 + -1w = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 20 + -1w = 7 + 0 20 + -1w = 7 Add '-20' to each side of the equation. 20 + -20 + -1w = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -1w = 7 + -20 -1w = 7 + -20 Combine like terms: 7 + -20 = -13 -1w = -13 Divide each side by '-1'. w = 13 Simplifying w = 13
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