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Simplifying -3(2w + -1) + 4w = 9 + 4(4w + -5) Reorder the terms: -3(-1 + 2w) + 4w = 9 + 4(4w + -5) (-1 * -3 + 2w * -3) + 4w = 9 + 4(4w + -5) (3 + -6w) + 4w = 9 + 4(4w + -5) Combine like terms: -6w + 4w = -2w 3 + -2w = 9 + 4(4w + -5) Reorder the terms: 3 + -2w = 9 + 4(-5 + 4w) 3 + -2w = 9 + (-5 * 4 + 4w * 4) 3 + -2w = 9 + (-20 + 16w) Combine like terms: 9 + -20 = -11 3 + -2w = -11 + 16w Solving 3 + -2w = -11 + 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. 3 + -2w + -16w = -11 + 16w + -16w Combine like terms: -2w + -16w = -18w 3 + -18w = -11 + 16w + -16w Combine like terms: 16w + -16w = 0 3 + -18w = -11 + 0 3 + -18w = -11 Add '-3' to each side of the equation. 3 + -3 + -18w = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -18w = -11 + -3 -18w = -11 + -3 Combine like terms: -11 + -3 = -14 -18w = -14 Divide each side by '-18'. w = 0.7777777778 Simplifying w = 0.7777777778
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