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Simplifying (9w + -4) = -1(2w + 10) Reorder the terms: (-4 + 9w) = -1(2w + 10) Remove parenthesis around (-4 + 9w) -4 + 9w = -1(2w + 10) Reorder the terms: -4 + 9w = -1(10 + 2w) -4 + 9w = (10 * -1 + 2w * -1) -4 + 9w = (-10 + -2w) Solving -4 + 9w = -10 + -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. -4 + 9w + 2w = -10 + -2w + 2w Combine like terms: 9w + 2w = 11w -4 + 11w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 -4 + 11w = -10 + 0 -4 + 11w = -10 Add '4' to each side of the equation. -4 + 4 + 11w = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 11w = -10 + 4 11w = -10 + 4 Combine like terms: -10 + 4 = -6 11w = -6 Divide each side by '11'. w = -0.5454545455 Simplifying w = -0.5454545455
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