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Simplifying 8w + 12 = -4(w + -6) Reorder the terms: 12 + 8w = -4(w + -6) Reorder the terms: 12 + 8w = -4(-6 + w) 12 + 8w = (-6 * -4 + w * -4) 12 + 8w = (24 + -4w) Solving 12 + 8w = 24 + -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. 12 + 8w + 4w = 24 + -4w + 4w Combine like terms: 8w + 4w = 12w 12 + 12w = 24 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 12w = 24 + 0 12 + 12w = 24 Add '-12' to each side of the equation. 12 + -12 + 12w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = 24 + -12 12w = 24 + -12 Combine like terms: 24 + -12 = 12 12w = 12 Divide each side by '12'. w = 1 Simplifying w = 1
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