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Simplifying 7w + -1(4w + 8) = 11 Reorder the terms: 7w + -1(8 + 4w) = 11 7w + (8 * -1 + 4w * -1) = 11 7w + (-8 + -4w) = 11 Reorder the terms: -8 + 7w + -4w = 11 Combine like terms: 7w + -4w = 3w -8 + 3w = 11 Solving -8 + 3w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3w = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 11 + 8 3w = 11 + 8 Combine like terms: 11 + 8 = 19 3w = 19 Divide each side by '3'. w = 6.333333333 Simplifying w = 6.333333333
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