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Simplifying 3w + -1(-7 + -1w) = 11 + 2w 3w + (-7 * -1 + -1w * -1) = 11 + 2w 3w + (7 + 1w) = 11 + 2w Reorder the terms: 7 + 3w + 1w = 11 + 2w Combine like terms: 3w + 1w = 4w 7 + 4w = 11 + 2w Solving 7 + 4w = 11 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 7 + 4w + -2w = 11 + 2w + -2w Combine like terms: 4w + -2w = 2w 7 + 2w = 11 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + 2w = 11 + 0 7 + 2w = 11 Add '-7' to each side of the equation. 7 + -7 + 2w = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 11 + -7 2w = 11 + -7 Combine like terms: 11 + -7 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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