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Simplifying -12 = 3(w + -8) + -5w Reorder the terms: -12 = 3(-8 + w) + -5w -12 = (-8 * 3 + w * 3) + -5w -12 = (-24 + 3w) + -5w Combine like terms: 3w + -5w = -2w -12 = -24 + -2w Solving -12 = -24 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -12 + 2w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 -12 + 2w = -24 + 0 -12 + 2w = -24 Add '12' to each side of the equation. -12 + 12 + 2w = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = -24 + 12 2w = -24 + 12 Combine like terms: -24 + 12 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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