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Simplifying 5w + 1 = 2w + 13 Reorder the terms: 1 + 5w = 2w + 13 Reorder the terms: 1 + 5w = 13 + 2w Solving 1 + 5w = 13 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 1 + 5w + -2w = 13 + 2w + -2w Combine like terms: 5w + -2w = 3w 1 + 3w = 13 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + 3w = 13 + 0 1 + 3w = 13 Add '-1' to each side of the equation. 1 + -1 + 3w = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 13 + -1 3w = 13 + -1 Combine like terms: 13 + -1 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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