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Simplifying 2(1[3w + 8] * 1) = 40 Reorder the terms: 2(1[8 + 3w] * 1) = 40 Reorder the terms for easier multiplication: 2(1 * 1[8 + 3w]) = 40 Multiply 1 * 1 2(1[8 + 3w]) = 40 2([8 * 1 + 3w * 1]) = 40 2([8 + 3w]) = 40 (8 * 2 + 3w * 2) = 40 (16 + 6w) = 40 Solving 16 + 6w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6w = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 6w = 40 + -16 6w = 40 + -16 Combine like terms: 40 + -16 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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