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Simplifying 7(1[w + 5] * 1) = 105 Reorder the terms: 7(1[5 + w] * 1) = 105 Reorder the terms for easier multiplication: 7(1 * 1[5 + w]) = 105 Multiply 1 * 1 7(1[5 + w]) = 105 7([5 * 1 + w * 1]) = 105 7([5 + 1w]) = 105 (5 * 7 + 1w * 7) = 105 (35 + 7w) = 105 Solving 35 + 7w = 105 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7w = 105 + -35 Combine like terms: 35 + -35 = 0 0 + 7w = 105 + -35 7w = 105 + -35 Combine like terms: 105 + -35 = 70 7w = 70 Divide each side by '7'. w = 10 Simplifying w = 10
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