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Simplifying 11 + -4w = 19 + -7w Solving 11 + -4w = 19 + -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. 11 + -4w + 7w = 19 + -7w + 7w Combine like terms: -4w + 7w = 3w 11 + 3w = 19 + -7w + 7w Combine like terms: -7w + 7w = 0 11 + 3w = 19 + 0 11 + 3w = 19 Add '-11' to each side of the equation. 11 + -11 + 3w = 19 + -11 Combine like terms: 11 + -11 = 0 0 + 3w = 19 + -11 3w = 19 + -11 Combine like terms: 19 + -11 = 8 3w = 8 Divide each side by '3'. w = 2.666666667 Simplifying w = 2.666666667
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