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Simplifying 2w + 3 = 7w + 13 Reorder the terms: 3 + 2w = 7w + 13 Reorder the terms: 3 + 2w = 13 + 7w Solving 3 + 2w = 13 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 3 + 2w + -7w = 13 + 7w + -7w Combine like terms: 2w + -7w = -5w 3 + -5w = 13 + 7w + -7w Combine like terms: 7w + -7w = 0 3 + -5w = 13 + 0 3 + -5w = 13 Add '-3' to each side of the equation. 3 + -3 + -5w = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 13 + -3 -5w = 13 + -3 Combine like terms: 13 + -3 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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