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Simplifying (9w + -11) + -1(11w + 4) = 0 Reorder the terms: (-11 + 9w) + -1(11w + 4) = 0 Remove parenthesis around (-11 + 9w) -11 + 9w + -1(11w + 4) = 0 Reorder the terms: -11 + 9w + -1(4 + 11w) = 0 -11 + 9w + (4 * -1 + 11w * -1) = 0 -11 + 9w + (-4 + -11w) = 0 Reorder the terms: -11 + -4 + 9w + -11w = 0 Combine like terms: -11 + -4 = -15 -15 + 9w + -11w = 0 Combine like terms: 9w + -11w = -2w -15 + -2w = 0 Solving -15 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2w = 0 + 15 -2w = 0 + 15 Combine like terms: 0 + 15 = 15 -2w = 15 Divide each side by '-2'. w = -7.5 Simplifying w = -7.5
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