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Simplifying 7(3w + 5) = 12 Reorder the terms: 7(5 + 3w) = 12 (5 * 7 + 3w * 7) = 12 (35 + 21w) = 12 Solving 35 + 21w = 12 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 + 21w = 12 + -35 Combine like terms: 35 + -35 = 0 0 + 21w = 12 + -35 21w = 12 + -35 Combine like terms: 12 + -35 = -23 21w = -23 Divide each side by '21'. w = -1.095238095 Simplifying w = -1.095238095
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