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Simplifying 7(w + -6) + -1(2 + -8w) = 14w Reorder the terms: 7(-6 + w) + -1(2 + -8w) = 14w (-6 * 7 + w * 7) + -1(2 + -8w) = 14w (-42 + 7w) + -1(2 + -8w) = 14w -42 + 7w + (2 * -1 + -8w * -1) = 14w -42 + 7w + (-2 + 8w) = 14w Reorder the terms: -42 + -2 + 7w + 8w = 14w Combine like terms: -42 + -2 = -44 -44 + 7w + 8w = 14w Combine like terms: 7w + 8w = 15w -44 + 15w = 14w Solving -44 + 15w = 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -44 + 15w + -14w = 14w + -14w Combine like terms: 15w + -14w = 1w -44 + 1w = 14w + -14w Combine like terms: 14w + -14w = 0 -44 + 1w = 0 Add '44' to each side of the equation. -44 + 44 + 1w = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 1w = 0 + 44 1w = 0 + 44 Combine like terms: 0 + 44 = 44 1w = 44 Divide each side by '1'. w = 44 Simplifying w = 44
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