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Simplifying 4w + 1 = 13 + -2w Reorder the terms: 1 + 4w = 13 + -2w Solving 1 + 4w = 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 + 4w + 2w = 13 + -2w + 2w Combine like terms: 4w + 2w = 6w 1 + 6w = 13 + -2w + 2w Combine like terms: -2w + 2w = 0 1 + 6w = 13 + 0 1 + 6w = 13 Add '-1' to each side of the equation. 1 + -1 + 6w = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 13 + -1 6w = 13 + -1 Combine like terms: 13 + -1 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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