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Simplifying 2(3w + -14) + 2w = 76 Reorder the terms: 2(-14 + 3w) + 2w = 76 (-14 * 2 + 3w * 2) + 2w = 76 (-28 + 6w) + 2w = 76 Combine like terms: 6w + 2w = 8w -28 + 8w = 76 Solving -28 + 8w = 76 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 8w = 76 + 28 Combine like terms: -28 + 28 = 0 0 + 8w = 76 + 28 8w = 76 + 28 Combine like terms: 76 + 28 = 104 8w = 104 Divide each side by '8'. w = 13 Simplifying w = 13
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