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Simplifying 6 + 7w = 1 + 4w Solving 6 + 7w = 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. 6 + 7w + -4w = 1 + 4w + -4w Combine like terms: 7w + -4w = 3w 6 + 3w = 1 + 4w + -4w Combine like terms: 4w + -4w = 0 6 + 3w = 1 + 0 6 + 3w = 1 Add '-6' to each side of the equation. 6 + -6 + 3w = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 3w = 1 + -6 3w = 1 + -6 Combine like terms: 1 + -6 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667
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