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Simplifying w + 13 + -7 + 2w = 5w + 2 Reorder the terms: 13 + -7 + w + 2w = 5w + 2 Combine like terms: 13 + -7 = 6 6 + w + 2w = 5w + 2 Combine like terms: w + 2w = 3w 6 + 3w = 5w + 2 Reorder the terms: 6 + 3w = 2 + 5w Solving 6 + 3w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 6 + 3w + -5w = 2 + 5w + -5w Combine like terms: 3w + -5w = -2w 6 + -2w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 6 + -2w = 2 + 0 6 + -2w = 2 Add '-6' to each side of the equation. 6 + -6 + -2w = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2w = 2 + -6 -2w = 2 + -6 Combine like terms: 2 + -6 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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