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Simplifying -2(w + 3) = 4w + -9 + 3(4w + 6) Reorder the terms: -2(3 + w) = 4w + -9 + 3(4w + 6) (3 * -2 + w * -2) = 4w + -9 + 3(4w + 6) (-6 + -2w) = 4w + -9 + 3(4w + 6) Reorder the terms: -6 + -2w = 4w + -9 + 3(6 + 4w) -6 + -2w = 4w + -9 + (6 * 3 + 4w * 3) -6 + -2w = 4w + -9 + (18 + 12w) Reorder the terms: -6 + -2w = -9 + 18 + 4w + 12w Combine like terms: -9 + 18 = 9 -6 + -2w = 9 + 4w + 12w Combine like terms: 4w + 12w = 16w -6 + -2w = 9 + 16w Solving -6 + -2w = 9 + 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. -6 + -2w + -16w = 9 + 16w + -16w Combine like terms: -2w + -16w = -18w -6 + -18w = 9 + 16w + -16w Combine like terms: 16w + -16w = 0 -6 + -18w = 9 + 0 -6 + -18w = 9 Add '6' to each side of the equation. -6 + 6 + -18w = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -18w = 9 + 6 -18w = 9 + 6 Combine like terms: 9 + 6 = 15 -18w = 15 Divide each side by '-18'. w = -0.8333333333 Simplifying w = -0.8333333333
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