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Simplifying -12 + 7w + -11 = 10w + 20 Reorder the terms: -12 + -11 + 7w = 10w + 20 Combine like terms: -12 + -11 = -23 -23 + 7w = 10w + 20 Reorder the terms: -23 + 7w = 20 + 10w Solving -23 + 7w = 20 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -23 + 7w + -10w = 20 + 10w + -10w Combine like terms: 7w + -10w = -3w -23 + -3w = 20 + 10w + -10w Combine like terms: 10w + -10w = 0 -23 + -3w = 20 + 0 -23 + -3w = 20 Add '23' to each side of the equation. -23 + 23 + -3w = 20 + 23 Combine like terms: -23 + 23 = 0 0 + -3w = 20 + 23 -3w = 20 + 23 Combine like terms: 20 + 23 = 43 -3w = 43 Divide each side by '-3'. w = -14.33333333 Simplifying w = -14.33333333
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