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Simplifying 9w + -14(2w + 1) = 71 Reorder the terms: 9w + -14(1 + 2w) = 71 9w + (1 * -14 + 2w * -14) = 71 9w + (-14 + -28w) = 71 Reorder the terms: -14 + 9w + -28w = 71 Combine like terms: 9w + -28w = -19w -14 + -19w = 71 Solving -14 + -19w = 71 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 + -19w = 71 + 14 Combine like terms: -14 + 14 = 0 0 + -19w = 71 + 14 -19w = 71 + 14 Combine like terms: 71 + 14 = 85 -19w = 85 Divide each side by '-19'. w = -4.473684211 Simplifying w = -4.473684211
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