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Simplifying -8(w + 7) + -1(4 + 5w) = -14w Reorder the terms: -8(7 + w) + -1(4 + 5w) = -14w (7 * -8 + w * -8) + -1(4 + 5w) = -14w (-56 + -8w) + -1(4 + 5w) = -14w -56 + -8w + (4 * -1 + 5w * -1) = -14w -56 + -8w + (-4 + -5w) = -14w Reorder the terms: -56 + -4 + -8w + -5w = -14w Combine like terms: -56 + -4 = -60 -60 + -8w + -5w = -14w Combine like terms: -8w + -5w = -13w -60 + -13w = -14w Solving -60 + -13w = -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. -60 + -13w + 14w = -14w + 14w Combine like terms: -13w + 14w = 1w -60 + 1w = -14w + 14w Combine like terms: -14w + 14w = 0 -60 + 1w = 0 Add '60' to each side of the equation. -60 + 60 + 1w = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 1w = 0 + 60 1w = 0 + 60 Combine like terms: 0 + 60 = 60 1w = 60 Divide each side by '1'. w = 60 Simplifying w = 60
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