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Simplifying -2(w + 1) = 4w + -4 + 3(4w + 2) Reorder the terms: -2(1 + w) = 4w + -4 + 3(4w + 2) (1 * -2 + w * -2) = 4w + -4 + 3(4w + 2) (-2 + -2w) = 4w + -4 + 3(4w + 2) Reorder the terms: -2 + -2w = 4w + -4 + 3(2 + 4w) -2 + -2w = 4w + -4 + (2 * 3 + 4w * 3) -2 + -2w = 4w + -4 + (6 + 12w) Reorder the terms: -2 + -2w = -4 + 6 + 4w + 12w Combine like terms: -4 + 6 = 2 -2 + -2w = 2 + 4w + 12w Combine like terms: 4w + 12w = 16w -2 + -2w = 2 + 16w Solving -2 + -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. -2 + -2w + -16w = 2 + 16w + -16w Combine like terms: -2w + -16w = -18w -2 + -18w = 2 + 16w + -16w Combine like terms: 16w + -16w = 0 -2 + -18w = 2 + 0 -2 + -18w = 2 Add '2' to each side of the equation. -2 + 2 + -18w = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -18w = 2 + 2 -18w = 2 + 2 Combine like terms: 2 + 2 = 4 -18w = 4 Divide each side by '-18'. w = -0.2222222222 Simplifying w = -0.2222222222
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