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Simplifying -6(w + 6) = 8w + 20 Reorder the terms: -6(6 + w) = 8w + 20 (6 * -6 + w * -6) = 8w + 20 (-36 + -6w) = 8w + 20 Reorder the terms: -36 + -6w = 20 + 8w Solving -36 + -6w = 20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -36 + -6w + -8w = 20 + 8w + -8w Combine like terms: -6w + -8w = -14w -36 + -14w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 -36 + -14w = 20 + 0 -36 + -14w = 20 Add '36' to each side of the equation. -36 + 36 + -14w = 20 + 36 Combine like terms: -36 + 36 = 0 0 + -14w = 20 + 36 -14w = 20 + 36 Combine like terms: 20 + 36 = 56 -14w = 56 Divide each side by '-14'. w = -4 Simplifying w = -4
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