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Simplifying 22 = 2(w + 3) + -6w Reorder the terms: 22 = 2(3 + w) + -6w 22 = (3 * 2 + w * 2) + -6w 22 = (6 + 2w) + -6w Combine like terms: 2w + -6w = -4w 22 = 6 + -4w Solving 22 = 6 + -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 = 6 + -4w + 4w Combine like terms: -4w + 4w = 0 22 + 4w = 6 + 0 22 + 4w = 6 Add '-22' to each side of the equation. 22 + -22 + 4w = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 4w = 6 + -22 4w = 6 + -22 Combine like terms: 6 + -22 = -16 4w = -16 Divide each side by '4'. w = -4 Simplifying w = -4
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