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Simplifying -91 = 6w + -15w + -19 Reorder the terms: -91 = -19 + 6w + -15w Combine like terms: 6w + -15w = -9w -91 = -19 + -9w Solving -91 = -19 + -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. -91 + 9w = -19 + -9w + 9w Combine like terms: -9w + 9w = 0 -91 + 9w = -19 + 0 -91 + 9w = -19 Add '91' to each side of the equation. -91 + 91 + 9w = -19 + 91 Combine like terms: -91 + 91 = 0 0 + 9w = -19 + 91 9w = -19 + 91 Combine like terms: -19 + 91 = 72 9w = 72 Divide each side by '9'. w = 8 Simplifying w = 8
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