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Simplifying 6(w + 8) = -8w + 20 Reorder the terms: 6(8 + w) = -8w + 20 (8 * 6 + w * 6) = -8w + 20 (48 + 6w) = -8w + 20 Reorder the terms: 48 + 6w = 20 + -8w Solving 48 + 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. 48 + 6w + 8w = 20 + -8w + 8w Combine like terms: 6w + 8w = 14w 48 + 14w = 20 + -8w + 8w Combine like terms: -8w + 8w = 0 48 + 14w = 20 + 0 48 + 14w = 20 Add '-48' to each side of the equation. 48 + -48 + 14w = 20 + -48 Combine like terms: 48 + -48 = 0 0 + 14w = 20 + -48 14w = 20 + -48 Combine like terms: 20 + -48 = -28 14w = -28 Divide each side by '14'. w = -2 Simplifying w = -2
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