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Simplifying 4 + -3w = -2(4w + 8) Reorder the terms: 4 + -3w = -2(8 + 4w) 4 + -3w = (8 * -2 + 4w * -2) 4 + -3w = (-16 + -8w) Solving 4 + -3w = -16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 4 + -3w + 8w = -16 + -8w + 8w Combine like terms: -3w + 8w = 5w 4 + 5w = -16 + -8w + 8w Combine like terms: -8w + 8w = 0 4 + 5w = -16 + 0 4 + 5w = -16 Add '-4' to each side of the equation. 4 + -4 + 5w = -16 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = -16 + -4 5w = -16 + -4 Combine like terms: -16 + -4 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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