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Simplifying (4w + -8) + -1(w * 2 + -9w + 3) = 0 Reorder the terms: (-8 + 4w) + -1(w * 2 + -9w + 3) = 0 Remove parenthesis around (-8 + 4w) -8 + 4w + -1(w * 2 + -9w + 3) = 0 Reorder the terms for easier multiplication: -8 + 4w + -1(2w + -9w + 3) = 0 Reorder the terms: -8 + 4w + -1(3 + 2w + -9w) = 0 Combine like terms: 2w + -9w = -7w -8 + 4w + -1(3 + -7w) = 0 -8 + 4w + (3 * -1 + -7w * -1) = 0 -8 + 4w + (-3 + 7w) = 0 Reorder the terms: -8 + -3 + 4w + 7w = 0 Combine like terms: -8 + -3 = -11 -11 + 4w + 7w = 0 Combine like terms: 4w + 7w = 11w -11 + 11w = 0 Solving -11 + 11w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 11w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11w = 0 + 11 11w = 0 + 11 Combine like terms: 0 + 11 = 11 11w = 11 Divide each side by '11'. w = 1 Simplifying w = 1
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