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Simplifying -7(w + -2) = 5(w + -5) Reorder the terms: -7(-2 + w) = 5(w + -5) (-2 * -7 + w * -7) = 5(w + -5) (14 + -7w) = 5(w + -5) Reorder the terms: 14 + -7w = 5(-5 + w) 14 + -7w = (-5 * 5 + w * 5) 14 + -7w = (-25 + 5w) Solving 14 + -7w = -25 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 14 + -7w + -5w = -25 + 5w + -5w Combine like terms: -7w + -5w = -12w 14 + -12w = -25 + 5w + -5w Combine like terms: 5w + -5w = 0 14 + -12w = -25 + 0 14 + -12w = -25 Add '-14' to each side of the equation. 14 + -14 + -12w = -25 + -14 Combine like terms: 14 + -14 = 0 0 + -12w = -25 + -14 -12w = -25 + -14 Combine like terms: -25 + -14 = -39 -12w = -39 Divide each side by '-12'. w = 3.25 Simplifying w = 3.25
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