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Simplifying 6(w + 4) + -8w = 22 Reorder the terms: 6(4 + w) + -8w = 22 (4 * 6 + w * 6) + -8w = 22 (24 + 6w) + -8w = 22 Combine like terms: 6w + -8w = -2w 24 + -2w = 22 Solving 24 + -2w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2w = 22 + -24 Combine like terms: 24 + -24 = 0 0 + -2w = 22 + -24 -2w = 22 + -24 Combine like terms: 22 + -24 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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