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Simplifying 3(w + -8) + -5w = 12 Reorder the terms: 3(-8 + w) + -5w = 12 (-8 * 3 + w * 3) + -5w = 12 (-24 + 3w) + -5w = 12 Combine like terms: 3w + -5w = -2w -24 + -2w = 12 Solving -24 + -2w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2w = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2w = 12 + 24 -2w = 12 + 24 Combine like terms: 12 + 24 = 36 -2w = 36 Divide each side by '-2'. w = -18 Simplifying w = -18
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