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Simplifying -22 = 2(w + -5) + -8w Reorder the terms: -22 = 2(-5 + w) + -8w -22 = (-5 * 2 + w * 2) + -8w -22 = (-10 + 2w) + -8w Combine like terms: 2w + -8w = -6w -22 = -10 + -6w Solving -22 = -10 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -22 + 6w = -10 + -6w + 6w Combine like terms: -6w + 6w = 0 -22 + 6w = -10 + 0 -22 + 6w = -10 Add '22' to each side of the equation. -22 + 22 + 6w = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 6w = -10 + 22 6w = -10 + 22 Combine like terms: -10 + 22 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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