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Simplifying 2(w) + 2(3w + -12) = 40 Reorder the terms: 2w + 2(-12 + 3w) = 40 2w + (-12 * 2 + 3w * 2) = 40 2w + (-24 + 6w) = 40 Reorder the terms: -24 + 2w + 6w = 40 Combine like terms: 2w + 6w = 8w -24 + 8w = 40 Solving -24 + 8w = 40 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 + 8w = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 8w = 40 + 24 8w = 40 + 24 Combine like terms: 40 + 24 = 64 8w = 64 Divide each side by '8'. w = 8 Simplifying w = 8
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