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Simplifying -2(w + 8) = w + -8 + 3(5w + 2) Reorder the terms: -2(8 + w) = w + -8 + 3(5w + 2) (8 * -2 + w * -2) = w + -8 + 3(5w + 2) (-16 + -2w) = w + -8 + 3(5w + 2) Reorder the terms: -16 + -2w = w + -8 + 3(2 + 5w) -16 + -2w = w + -8 + (2 * 3 + 5w * 3) -16 + -2w = w + -8 + (6 + 15w) Reorder the terms: -16 + -2w = -8 + 6 + w + 15w Combine like terms: -8 + 6 = -2 -16 + -2w = -2 + w + 15w Combine like terms: w + 15w = 16w -16 + -2w = -2 + 16w Solving -16 + -2w = -2 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -16 + -2w + -16w = -2 + 16w + -16w Combine like terms: -2w + -16w = -18w -16 + -18w = -2 + 16w + -16w Combine like terms: 16w + -16w = 0 -16 + -18w = -2 + 0 -16 + -18w = -2 Add '16' to each side of the equation. -16 + 16 + -18w = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -18w = -2 + 16 -18w = -2 + 16 Combine like terms: -2 + 16 = 14 -18w = 14 Divide each side by '-18'. w = -0.7777777778 Simplifying w = -0.7777777778
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