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Simplifying 2(1[2w + -7] * 1) = 18 Reorder the terms: 2(1[-7 + 2w] * 1) = 18 Reorder the terms for easier multiplication: 2(1 * 1[-7 + 2w]) = 18 Multiply 1 * 1 2(1[-7 + 2w]) = 18 2([-7 * 1 + 2w * 1]) = 18 2([-7 + 2w]) = 18 (-7 * 2 + 2w * 2) = 18 (-14 + 4w) = 18 Solving -14 + 4w = 18 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 + 4w = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4w = 18 + 14 4w = 18 + 14 Combine like terms: 18 + 14 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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