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Simplifying -7(w + -2) = 2w + -22 Reorder the terms: -7(-2 + w) = 2w + -22 (-2 * -7 + w * -7) = 2w + -22 (14 + -7w) = 2w + -22 Reorder the terms: 14 + -7w = -22 + 2w Solving 14 + -7w = -22 + 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. 14 + -7w + -2w = -22 + 2w + -2w Combine like terms: -7w + -2w = -9w 14 + -9w = -22 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + -9w = -22 + 0 14 + -9w = -22 Add '-14' to each side of the equation. 14 + -14 + -9w = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -9w = -22 + -14 -9w = -22 + -14 Combine like terms: -22 + -14 = -36 -9w = -36 Divide each side by '-9'. w = 4 Simplifying w = 4
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