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Simplifying (2w + 13) = (4w + -7) Reorder the terms: (13 + 2w) = (4w + -7) Remove parenthesis around (13 + 2w) 13 + 2w = (4w + -7) Reorder the terms: 13 + 2w = (-7 + 4w) Remove parenthesis around (-7 + 4w) 13 + 2w = -7 + 4w Solving 13 + 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. 13 + 2w + -4w = -7 + 4w + -4w Combine like terms: 2w + -4w = -2w 13 + -2w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 13 + -2w = -7 + 0 13 + -2w = -7 Add '-13' to each side of the equation. 13 + -13 + -2w = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -2w = -7 + -13 -2w = -7 + -13 Combine like terms: -7 + -13 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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