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Simplifying 3w + -1(7 + -1w) = 5w + 11 3w + (7 * -1 + -1w * -1) = 5w + 11 3w + (-7 + 1w) = 5w + 11 Reorder the terms: -7 + 3w + 1w = 5w + 11 Combine like terms: 3w + 1w = 4w -7 + 4w = 5w + 11 Reorder the terms: -7 + 4w = 11 + 5w Solving -7 + 4w = 11 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 4w + -5w = 11 + 5w + -5w Combine like terms: 4w + -5w = -1w -7 + -1w = 11 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + -1w = 11 + 0 -7 + -1w = 11 Add '7' to each side of the equation. -7 + 7 + -1w = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 11 + 7 -1w = 11 + 7 Combine like terms: 11 + 7 = 18 -1w = 18 Divide each side by '-1'. w = -18 Simplifying w = -18
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