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Simplifying w + 4 + -3(-5w + -2) = 4(w + -2) Reorder the terms: w + 4 + -3(-2 + -5w) = 4(w + -2) w + 4 + (-2 * -3 + -5w * -3) = 4(w + -2) w + 4 + (6 + 15w) = 4(w + -2) Reorder the terms: 4 + 6 + w + 15w = 4(w + -2) Combine like terms: 4 + 6 = 10 10 + w + 15w = 4(w + -2) Combine like terms: w + 15w = 16w 10 + 16w = 4(w + -2) Reorder the terms: 10 + 16w = 4(-2 + w) 10 + 16w = (-2 * 4 + w * 4) 10 + 16w = (-8 + 4w) Solving 10 + 16w = -8 + 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. 10 + 16w + -4w = -8 + 4w + -4w Combine like terms: 16w + -4w = 12w 10 + 12w = -8 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 12w = -8 + 0 10 + 12w = -8 Add '-10' to each side of the equation. 10 + -10 + 12w = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 12w = -8 + -10 12w = -8 + -10 Combine like terms: -8 + -10 = -18 12w = -18 Divide each side by '12'. w = -1.5 Simplifying w = -1.5
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