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Simplifying 6w + 3 = 4w + 1 Reorder the terms: 3 + 6w = 4w + 1 Reorder the terms: 3 + 6w = 1 + 4w Solving 3 + 6w = 1 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 3 + 6w + -4w = 1 + 4w + -4w Combine like terms: 6w + -4w = 2w 3 + 2w = 1 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + 2w = 1 + 0 3 + 2w = 1 Add '-3' to each side of the equation. 3 + -3 + 2w = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 1 + -3 2w = 1 + -3 Combine like terms: 1 + -3 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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