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Simplifying 8w + 22 = -6(w + -6) Reorder the terms: 22 + 8w = -6(w + -6) Reorder the terms: 22 + 8w = -6(-6 + w) 22 + 8w = (-6 * -6 + w * -6) 22 + 8w = (36 + -6w) Solving 22 + 8w = 36 + -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 + 8w + 6w = 36 + -6w + 6w Combine like terms: 8w + 6w = 14w 22 + 14w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 22 + 14w = 36 + 0 22 + 14w = 36 Add '-22' to each side of the equation. 22 + -22 + 14w = 36 + -22 Combine like terms: 22 + -22 = 0 0 + 14w = 36 + -22 14w = 36 + -22 Combine like terms: 36 + -22 = 14 14w = 14 Divide each side by '14'. w = 1 Simplifying w = 1
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