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