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Simplifying 4w + 16 = -4(w + -8) Reorder the terms: 16 + 4w = -4(w + -8) Reorder the terms: 16 + 4w = -4(-8 + w) 16 + 4w = (-8 * -4 + w * -4) 16 + 4w = (32 + -4w) Solving 16 + 4w = 32 + -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. 16 + 4w + 4w = 32 + -4w + 4w Combine like terms: 4w + 4w = 8w 16 + 8w = 32 + -4w + 4w Combine like terms: -4w + 4w = 0 16 + 8w = 32 + 0 16 + 8w = 32 Add '-16' to each side of the equation. 16 + -16 + 8w = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 8w = 32 + -16 8w = 32 + -16 Combine like terms: 32 + -16 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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