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Simplifying 2w + 6 + -2(-9w + -4) = 4(w + -1) Reorder the terms: 2w + 6 + -2(-4 + -9w) = 4(w + -1) 2w + 6 + (-4 * -2 + -9w * -2) = 4(w + -1) 2w + 6 + (8 + 18w) = 4(w + -1) Reorder the terms: 6 + 8 + 2w + 18w = 4(w + -1) Combine like terms: 6 + 8 = 14 14 + 2w + 18w = 4(w + -1) Combine like terms: 2w + 18w = 20w 14 + 20w = 4(w + -1) Reorder the terms: 14 + 20w = 4(-1 + w) 14 + 20w = (-1 * 4 + w * 4) 14 + 20w = (-4 + 4w) Solving 14 + 20w = -4 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 14 + 20w + -4w = -4 + 4w + -4w Combine like terms: 20w + -4w = 16w 14 + 16w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 14 + 16w = -4 + 0 14 + 16w = -4 Add '-14' to each side of the equation. 14 + -14 + 16w = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 16w = -4 + -14 16w = -4 + -14 Combine like terms: -4 + -14 = -18 16w = -18 Divide each side by '16'. w = -1.125 Simplifying w = -1.125
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