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Simplifying 3w + -1(7 + -2w) = 6 + -2(1 + -2w) 3w + (7 * -1 + -2w * -1) = 6 + -2(1 + -2w) 3w + (-7 + 2w) = 6 + -2(1 + -2w) Reorder the terms: -7 + 3w + 2w = 6 + -2(1 + -2w) Combine like terms: 3w + 2w = 5w -7 + 5w = 6 + -2(1 + -2w) -7 + 5w = 6 + (1 * -2 + -2w * -2) -7 + 5w = 6 + (-2 + 4w) Combine like terms: 6 + -2 = 4 -7 + 5w = 4 + 4w Solving -7 + 5w = 4 + 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. -7 + 5w + -4w = 4 + 4w + -4w Combine like terms: 5w + -4w = 1w -7 + 1w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + 1w = 4 + 0 -7 + 1w = 4 Add '7' to each side of the equation. -7 + 7 + 1w = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = 4 + 7 1w = 4 + 7 Combine like terms: 4 + 7 = 11 1w = 11 Divide each side by '1'. w = 11 Simplifying w = 11
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