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Simplifying 4w + 12 = -8(w + 6) Reorder the terms: 12 + 4w = -8(w + 6) Reorder the terms: 12 + 4w = -8(6 + w) 12 + 4w = (6 * -8 + w * -8) 12 + 4w = (-48 + -8w) Solving 12 + 4w = -48 + -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. 12 + 4w + 8w = -48 + -8w + 8w Combine like terms: 4w + 8w = 12w 12 + 12w = -48 + -8w + 8w Combine like terms: -8w + 8w = 0 12 + 12w = -48 + 0 12 + 12w = -48 Add '-12' to each side of the equation. 12 + -12 + 12w = -48 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = -48 + -12 12w = -48 + -12 Combine like terms: -48 + -12 = -60 12w = -60 Divide each side by '12'. w = -5 Simplifying w = -5
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