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Simplifying 4w + 8 + -4(-3w + -1) = 2(w + -2) Reorder the terms: 4w + 8 + -4(-1 + -3w) = 2(w + -2) 4w + 8 + (-1 * -4 + -3w * -4) = 2(w + -2) 4w + 8 + (4 + 12w) = 2(w + -2) Reorder the terms: 8 + 4 + 4w + 12w = 2(w + -2) Combine like terms: 8 + 4 = 12 12 + 4w + 12w = 2(w + -2) Combine like terms: 4w + 12w = 16w 12 + 16w = 2(w + -2) Reorder the terms: 12 + 16w = 2(-2 + w) 12 + 16w = (-2 * 2 + w * 2) 12 + 16w = (-4 + 2w) Solving 12 + 16w = -4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 12 + 16w + -2w = -4 + 2w + -2w Combine like terms: 16w + -2w = 14w 12 + 14w = -4 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 14w = -4 + 0 12 + 14w = -4 Add '-12' to each side of the equation. 12 + -12 + 14w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 14w = -4 + -12 14w = -4 + -12 Combine like terms: -4 + -12 = -16 14w = -16 Divide each side by '14'. w = -1.142857143 Simplifying w = -1.142857143
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