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Simplifying -19w + -8(-6w + -19) = -20 + 19w + -18 Reorder the terms: -19w + -8(-19 + -6w) = -20 + 19w + -18 -19w + (-19 * -8 + -6w * -8) = -20 + 19w + -18 -19w + (152 + 48w) = -20 + 19w + -18 Reorder the terms: 152 + -19w + 48w = -20 + 19w + -18 Combine like terms: -19w + 48w = 29w 152 + 29w = -20 + 19w + -18 Reorder the terms: 152 + 29w = -20 + -18 + 19w Combine like terms: -20 + -18 = -38 152 + 29w = -38 + 19w Solving 152 + 29w = -38 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. 152 + 29w + -19w = -38 + 19w + -19w Combine like terms: 29w + -19w = 10w 152 + 10w = -38 + 19w + -19w Combine like terms: 19w + -19w = 0 152 + 10w = -38 + 0 152 + 10w = -38 Add '-152' to each side of the equation. 152 + -152 + 10w = -38 + -152 Combine like terms: 152 + -152 = 0 0 + 10w = -38 + -152 10w = -38 + -152 Combine like terms: -38 + -152 = -190 10w = -190 Divide each side by '10'. w = -19 Simplifying w = -19
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