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Simplifying 11w + -9 = 15w + 7 Reorder the terms: -9 + 11w = 15w + 7 Reorder the terms: -9 + 11w = 7 + 15w Solving -9 + 11w = 7 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -9 + 11w + -15w = 7 + 15w + -15w Combine like terms: 11w + -15w = -4w -9 + -4w = 7 + 15w + -15w Combine like terms: 15w + -15w = 0 -9 + -4w = 7 + 0 -9 + -4w = 7 Add '9' to each side of the equation. -9 + 9 + -4w = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -4w = 7 + 9 -4w = 7 + 9 Combine like terms: 7 + 9 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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