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Simplifying 2 + 2(2w + -2) = -4(5w + -4) + 9w Reorder the terms: 2 + 2(-2 + 2w) = -4(5w + -4) + 9w 2 + (-2 * 2 + 2w * 2) = -4(5w + -4) + 9w 2 + (-4 + 4w) = -4(5w + -4) + 9w Combine like terms: 2 + -4 = -2 -2 + 4w = -4(5w + -4) + 9w Reorder the terms: -2 + 4w = -4(-4 + 5w) + 9w -2 + 4w = (-4 * -4 + 5w * -4) + 9w -2 + 4w = (16 + -20w) + 9w Combine like terms: -20w + 9w = -11w -2 + 4w = 16 + -11w Solving -2 + 4w = 16 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. -2 + 4w + 11w = 16 + -11w + 11w Combine like terms: 4w + 11w = 15w -2 + 15w = 16 + -11w + 11w Combine like terms: -11w + 11w = 0 -2 + 15w = 16 + 0 -2 + 15w = 16 Add '2' to each side of the equation. -2 + 2 + 15w = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 15w = 16 + 2 15w = 16 + 2 Combine like terms: 16 + 2 = 18 15w = 18 Divide each side by '15'. w = 1.2 Simplifying w = 1.2
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