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Simplifying 5(w + -7) = -3w + -11 Reorder the terms: 5(-7 + w) = -3w + -11 (-7 * 5 + w * 5) = -3w + -11 (-35 + 5w) = -3w + -11 Reorder the terms: -35 + 5w = -11 + -3w Solving -35 + 5w = -11 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -35 + 5w + 3w = -11 + -3w + 3w Combine like terms: 5w + 3w = 8w -35 + 8w = -11 + -3w + 3w Combine like terms: -3w + 3w = 0 -35 + 8w = -11 + 0 -35 + 8w = -11 Add '35' to each side of the equation. -35 + 35 + 8w = -11 + 35 Combine like terms: -35 + 35 = 0 0 + 8w = -11 + 35 8w = -11 + 35 Combine like terms: -11 + 35 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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