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Simplifying 4w + 20 = 2w + 7 Reorder the terms: 20 + 4w = 2w + 7 Reorder the terms: 20 + 4w = 7 + 2w Solving 20 + 4w = 7 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 20 + 4w + -2w = 7 + 2w + -2w Combine like terms: 4w + -2w = 2w 20 + 2w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 20 + 2w = 7 + 0 20 + 2w = 7 Add '-20' to each side of the equation. 20 + -20 + 2w = 7 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 7 + -20 2w = 7 + -20 Combine like terms: 7 + -20 = -13 2w = -13 Divide each side by '2'. w = -6.5 Simplifying w = -6.5
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