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Simplifying -22 = -6w + 2(w + 5) Reorder the terms: -22 = -6w + 2(5 + w) -22 = -6w + (5 * 2 + w * 2) -22 = -6w + (10 + 2w) Reorder the terms: -22 = 10 + -6w + 2w Combine like terms: -6w + 2w = -4w -22 = 10 + -4w Solving -22 = 10 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -22 + 4w = 10 + -4w + 4w Combine like terms: -4w + 4w = 0 -22 + 4w = 10 + 0 -22 + 4w = 10 Add '22' to each side of the equation. -22 + 22 + 4w = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 4w = 10 + 22 4w = 10 + 22 Combine like terms: 10 + 22 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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