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Simplifying 2(3w + -6) + 2w = 28 Reorder the terms: 2(-6 + 3w) + 2w = 28 (-6 * 2 + 3w * 2) + 2w = 28 (-12 + 6w) + 2w = 28 Combine like terms: 6w + 2w = 8w -12 + 8w = 28 Solving -12 + 8w = 28 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8w = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = 28 + 12 8w = 28 + 12 Combine like terms: 28 + 12 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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