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Simplifying -8w + 6(w + 3) = 22 Reorder the terms: -8w + 6(3 + w) = 22 -8w + (3 * 6 + w * 6) = 22 -8w + (18 + 6w) = 22 Reorder the terms: 18 + -8w + 6w = 22 Combine like terms: -8w + 6w = -2w 18 + -2w = 22 Solving 18 + -2w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2w = 22 + -18 Combine like terms: 18 + -18 = 0 0 + -2w = 22 + -18 -2w = 22 + -18 Combine like terms: 22 + -18 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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