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Simplifying -2(w + 6) = w + -5 + 3(5w + 3) Reorder the terms: -2(6 + w) = w + -5 + 3(5w + 3) (6 * -2 + w * -2) = w + -5 + 3(5w + 3) (-12 + -2w) = w + -5 + 3(5w + 3) Reorder the terms: -12 + -2w = w + -5 + 3(3 + 5w) -12 + -2w = w + -5 + (3 * 3 + 5w * 3) -12 + -2w = w + -5 + (9 + 15w) Reorder the terms: -12 + -2w = -5 + 9 + w + 15w Combine like terms: -5 + 9 = 4 -12 + -2w = 4 + w + 15w Combine like terms: w + 15w = 16w -12 + -2w = 4 + 16w Solving -12 + -2w = 4 + 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. -12 + -2w + -16w = 4 + 16w + -16w Combine like terms: -2w + -16w = -18w -12 + -18w = 4 + 16w + -16w Combine like terms: 16w + -16w = 0 -12 + -18w = 4 + 0 -12 + -18w = 4 Add '12' to each side of the equation. -12 + 12 + -18w = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -18w = 4 + 12 -18w = 4 + 12 Combine like terms: 4 + 12 = 16 -18w = 16 Divide each side by '-18'. w = -0.8888888889 Simplifying w = -0.8888888889
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