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Simplifying 2(w + 4) + -8w = -22 Reorder the terms: 2(4 + w) + -8w = -22 (4 * 2 + w * 2) + -8w = -22 (8 + 2w) + -8w = -22 Combine like terms: 2w + -8w = -6w 8 + -6w = -22 Solving 8 + -6w = -22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6w = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -6w = -22 + -8 -6w = -22 + -8 Combine like terms: -22 + -8 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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