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Simplifying -8w + 6(w + 6) = 22 Reorder the terms: -8w + 6(6 + w) = 22 -8w + (6 * 6 + w * 6) = 22 -8w + (36 + 6w) = 22 Reorder the terms: 36 + -8w + 6w = 22 Combine like terms: -8w + 6w = -2w 36 + -2w = 22 Solving 36 + -2w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -2w = 22 + -36 Combine like terms: 36 + -36 = 0 0 + -2w = 22 + -36 -2w = 22 + -36 Combine like terms: 22 + -36 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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