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Simplifying 2w + 13 = 5w + 7 Reorder the terms: 13 + 2w = 5w + 7 Reorder the terms: 13 + 2w = 7 + 5w Solving 13 + 2w = 7 + 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. 13 + 2w + -5w = 7 + 5w + -5w Combine like terms: 2w + -5w = -3w 13 + -3w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 13 + -3w = 7 + 0 13 + -3w = 7 Add '-13' to each side of the equation. 13 + -13 + -3w = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -3w = 7 + -13 -3w = 7 + -13 Combine like terms: 7 + -13 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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