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Simplifying -7w + 11 + 5 = 2w + 31 Reorder the terms: 11 + 5 + -7w = 2w + 31 Combine like terms: 11 + 5 = 16 16 + -7w = 2w + 31 Reorder the terms: 16 + -7w = 31 + 2w Solving 16 + -7w = 31 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 16 + -7w + -2w = 31 + 2w + -2w Combine like terms: -7w + -2w = -9w 16 + -9w = 31 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + -9w = 31 + 0 16 + -9w = 31 Add '-16' to each side of the equation. 16 + -16 + -9w = 31 + -16 Combine like terms: 16 + -16 = 0 0 + -9w = 31 + -16 -9w = 31 + -16 Combine like terms: 31 + -16 = 15 -9w = 15 Divide each side by '-9'. w = -1.666666667 Simplifying w = -1.666666667
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