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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 = 4w -12 + 4w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + 4w = -24 + 0 -12 + 4w = -24 Add '12' to each side of the equation. -12 + 12 + 4w = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = -24 + 12 4w = -24 + 12 Combine like terms: -24 + 12 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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