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Simplifying 2(3w + -12) + 2w = 56 Reorder the terms: 2(-12 + 3w) + 2w = 56 (-12 * 2 + 3w * 2) + 2w = 56 (-24 + 6w) + 2w = 56 Combine like terms: 6w + 2w = 8w -24 + 8w = 56 Solving -24 + 8w = 56 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 = 56 + 24 Combine like terms: -24 + 24 = 0 0 + 8w = 56 + 24 8w = 56 + 24 Combine like terms: 56 + 24 = 80 8w = 80 Divide each side by '8'. w = 10 Simplifying w = 10
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