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Simplifying -279(2w + -11) = 91(11 + -2w) Reorder the terms: -279(-11 + 2w) = 91(11 + -2w) (-11 * -279 + 2w * -279) = 91(11 + -2w) (3069 + -558w) = 91(11 + -2w) 3069 + -558w = (11 * 91 + -2w * 91) 3069 + -558w = (1001 + -182w) Solving 3069 + -558w = 1001 + -182w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '182w' to each side of the equation. 3069 + -558w + 182w = 1001 + -182w + 182w Combine like terms: -558w + 182w = -376w 3069 + -376w = 1001 + -182w + 182w Combine like terms: -182w + 182w = 0 3069 + -376w = 1001 + 0 3069 + -376w = 1001 Add '-3069' to each side of the equation. 3069 + -3069 + -376w = 1001 + -3069 Combine like terms: 3069 + -3069 = 0 0 + -376w = 1001 + -3069 -376w = 1001 + -3069 Combine like terms: 1001 + -3069 = -2068 -376w = -2068 Divide each side by '-376'. w = 5.5 Simplifying w = 5.5
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