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