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Simplifying 2w + 2(3w + -7) = 146 Reorder the terms: 2w + 2(-7 + 3w) = 146 2w + (-7 * 2 + 3w * 2) = 146 2w + (-14 + 6w) = 146 Reorder the terms: -14 + 2w + 6w = 146 Combine like terms: 2w + 6w = 8w -14 + 8w = 146 Solving -14 + 8w = 146 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8w = 146 + 14 Combine like terms: -14 + 14 = 0 0 + 8w = 146 + 14 8w = 146 + 14 Combine like terms: 146 + 14 = 160 8w = 160 Divide each side by '8'. w = 20 Simplifying w = 20
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