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Simplifying (2w + 3) = (4w + -7) Reorder the terms: (3 + 2w) = (4w + -7) Remove parenthesis around (3 + 2w) 3 + 2w = (4w + -7) Reorder the terms: 3 + 2w = (-7 + 4w) Remove parenthesis around (-7 + 4w) 3 + 2w = -7 + 4w Solving 3 + 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. 3 + 2w + -4w = -7 + 4w + -4w Combine like terms: 2w + -4w = -2w 3 + -2w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + -2w = -7 + 0 3 + -2w = -7 Add '-3' to each side of the equation. 3 + -3 + -2w = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = -7 + -3 -2w = -7 + -3 Combine like terms: -7 + -3 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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