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Simplifying 7 + 3(9w + 4 + 5) = 6 + 14 Reorder the terms: 7 + 3(4 + 5 + 9w) = 6 + 14 Combine like terms: 4 + 5 = 9 7 + 3(9 + 9w) = 6 + 14 7 + (9 * 3 + 9w * 3) = 6 + 14 7 + (27 + 27w) = 6 + 14 Combine like terms: 7 + 27 = 34 34 + 27w = 6 + 14 Combine like terms: 6 + 14 = 20 34 + 27w = 20 Solving 34 + 27w = 20 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 27w = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 27w = 20 + -34 27w = 20 + -34 Combine like terms: 20 + -34 = -14 27w = -14 Divide each side by '27'. w = -0.5185185185 Simplifying w = -0.5185185185
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