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Simplifying 5w + -9 + 2(4w + 4) = -3(w + 1) Reorder the terms: 5w + -9 + 2(4 + 4w) = -3(w + 1) 5w + -9 + (4 * 2 + 4w * 2) = -3(w + 1) 5w + -9 + (8 + 8w) = -3(w + 1) Reorder the terms: -9 + 8 + 5w + 8w = -3(w + 1) Combine like terms: -9 + 8 = -1 -1 + 5w + 8w = -3(w + 1) Combine like terms: 5w + 8w = 13w -1 + 13w = -3(w + 1) Reorder the terms: -1 + 13w = -3(1 + w) -1 + 13w = (1 * -3 + w * -3) -1 + 13w = (-3 + -3w) Solving -1 + 13w = -3 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -1 + 13w + 3w = -3 + -3w + 3w Combine like terms: 13w + 3w = 16w -1 + 16w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 -1 + 16w = -3 + 0 -1 + 16w = -3 Add '1' to each side of the equation. -1 + 1 + 16w = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 16w = -3 + 1 16w = -3 + 1 Combine like terms: -3 + 1 = -2 16w = -2 Divide each side by '16'. w = -0.125 Simplifying w = -0.125
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