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Simplifying (w + 7) * 2 + -46 = 75 Reorder the terms: (7 + w) * 2 + -46 = 75 Reorder the terms for easier multiplication: 2(7 + w) + -46 = 75 (7 * 2 + w * 2) + -46 = 75 (14 + 2w) + -46 = 75 Reorder the terms: 14 + -46 + 2w = 75 Combine like terms: 14 + -46 = -32 -32 + 2w = 75 Solving -32 + 2w = 75 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 2w = 75 + 32 Combine like terms: -32 + 32 = 0 0 + 2w = 75 + 32 2w = 75 + 32 Combine like terms: 75 + 32 = 107 2w = 107 Divide each side by '2'. w = 53.5 Simplifying w = 53.5
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