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Simplifying -8(w + 7) = 9w + -22 Reorder the terms: -8(7 + w) = 9w + -22 (7 * -8 + w * -8) = 9w + -22 (-56 + -8w) = 9w + -22 Reorder the terms: -56 + -8w = -22 + 9w Solving -56 + -8w = -22 + 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. -56 + -8w + -9w = -22 + 9w + -9w Combine like terms: -8w + -9w = -17w -56 + -17w = -22 + 9w + -9w Combine like terms: 9w + -9w = 0 -56 + -17w = -22 + 0 -56 + -17w = -22 Add '56' to each side of the equation. -56 + 56 + -17w = -22 + 56 Combine like terms: -56 + 56 = 0 0 + -17w = -22 + 56 -17w = -22 + 56 Combine like terms: -22 + 56 = 34 -17w = 34 Divide each side by '-17'. w = -2 Simplifying w = -2
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