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Simplifying 5w + 13 = 7w + 2 Reorder the terms: 13 + 5w = 7w + 2 Reorder the terms: 13 + 5w = 2 + 7w Solving 13 + 5w = 2 + 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. 13 + 5w + -7w = 2 + 7w + -7w Combine like terms: 5w + -7w = -2w 13 + -2w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 13 + -2w = 2 + 0 13 + -2w = 2 Add '-13' to each side of the equation. 13 + -13 + -2w = 2 + -13 Combine like terms: 13 + -13 = 0 0 + -2w = 2 + -13 -2w = 2 + -13 Combine like terms: 2 + -13 = -11 -2w = -11 Divide each side by '-2'. w = 5.5 Simplifying w = 5.5
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