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Simplifying 2w + 15 = 4w + 7 Reorder the terms: 15 + 2w = 4w + 7 Reorder the terms: 15 + 2w = 7 + 4w Solving 15 + 2w = 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. 15 + 2w + -4w = 7 + 4w + -4w Combine like terms: 2w + -4w = -2w 15 + -2w = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + -2w = 7 + 0 15 + -2w = 7 Add '-15' to each side of the equation. 15 + -15 + -2w = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 7 + -15 -2w = 7 + -15 Combine like terms: 7 + -15 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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