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Simplifying 21 + -2(5 + -2w) = 6w 21 + (5 * -2 + -2w * -2) = 6w 21 + (-10 + 4w) = 6w Combine like terms: 21 + -10 = 11 11 + 4w = 6w Solving 11 + 4w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 11 + 4w + -6w = 6w + -6w Combine like terms: 4w + -6w = -2w 11 + -2w = 6w + -6w Combine like terms: 6w + -6w = 0 11 + -2w = 0 Add '-11' to each side of the equation. 11 + -11 + -2w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = 0 + -11 -2w = 0 + -11 Combine like terms: 0 + -11 = -11 -2w = -11 Divide each side by '-2'. w = 5.5 Simplifying w = 5.5
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