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Simplifying 4w + -4 + 3(2w + 2) = -4(w + 4) Reorder the terms: 4w + -4 + 3(2 + 2w) = -4(w + 4) 4w + -4 + (2 * 3 + 2w * 3) = -4(w + 4) 4w + -4 + (6 + 6w) = -4(w + 4) Reorder the terms: -4 + 6 + 4w + 6w = -4(w + 4) Combine like terms: -4 + 6 = 2 2 + 4w + 6w = -4(w + 4) Combine like terms: 4w + 6w = 10w 2 + 10w = -4(w + 4) Reorder the terms: 2 + 10w = -4(4 + w) 2 + 10w = (4 * -4 + w * -4) 2 + 10w = (-16 + -4w) Solving 2 + 10w = -16 + -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. 2 + 10w + 4w = -16 + -4w + 4w Combine like terms: 10w + 4w = 14w 2 + 14w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 2 + 14w = -16 + 0 2 + 14w = -16 Add '-2' to each side of the equation. 2 + -2 + 14w = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 14w = -16 + -2 14w = -16 + -2 Combine like terms: -16 + -2 = -18 14w = -18 Divide each side by '14'. w = -1.285714286 Simplifying w = -1.285714286
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