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Simplifying -7 = 5(w + 4) + -8w Reorder the terms: -7 = 5(4 + w) + -8w -7 = (4 * 5 + w * 5) + -8w -7 = (20 + 5w) + -8w Combine like terms: 5w + -8w = -3w -7 = 20 + -3w Solving -7 = 20 + -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. -7 + 3w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 3w = 20 + 0 -7 + 3w = 20 Add '7' to each side of the equation. -7 + 7 + 3w = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 20 + 7 3w = 20 + 7 Combine like terms: 20 + 7 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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