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Simplifying 3w + -5 + 3(3w + 3) = -4(w + 1) Reorder the terms: 3w + -5 + 3(3 + 3w) = -4(w + 1) 3w + -5 + (3 * 3 + 3w * 3) = -4(w + 1) 3w + -5 + (9 + 9w) = -4(w + 1) Reorder the terms: -5 + 9 + 3w + 9w = -4(w + 1) Combine like terms: -5 + 9 = 4 4 + 3w + 9w = -4(w + 1) Combine like terms: 3w + 9w = 12w 4 + 12w = -4(w + 1) Reorder the terms: 4 + 12w = -4(1 + w) 4 + 12w = (1 * -4 + w * -4) 4 + 12w = (-4 + -4w) Solving 4 + 12w = -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. 4 + 12w + 4w = -4 + -4w + 4w Combine like terms: 12w + 4w = 16w 4 + 16w = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 16w = -4 + 0 4 + 16w = -4 Add '-4' to each side of the equation. 4 + -4 + 16w = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 16w = -4 + -4 16w = -4 + -4 Combine like terms: -4 + -4 = -8 16w = -8 Divide each side by '16'. w = -0.5 Simplifying w = -0.5
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