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Simplifying 2w = 9(w + -19) + 16 Reorder the terms: 2w = 9(-19 + w) + 16 2w = (-19 * 9 + w * 9) + 16 2w = (-171 + 9w) + 16 Reorder the terms: 2w = -171 + 16 + 9w Combine like terms: -171 + 16 = -155 2w = -155 + 9w Solving 2w = -155 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 2w + -9w = -155 + 9w + -9w Combine like terms: 2w + -9w = -7w -7w = -155 + 9w + -9w Combine like terms: 9w + -9w = 0 -7w = -155 + 0 -7w = -155 Divide each side by '-7'. w = 22.14285714 Simplifying w = 22.14285714
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