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Simplifying -4 = 4(w + 5) + -7w Reorder the terms: -4 = 4(5 + w) + -7w -4 = (5 * 4 + w * 4) + -7w -4 = (20 + 4w) + -7w Combine like terms: 4w + -7w = -3w -4 = 20 + -3w Solving -4 = 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. -4 + 3w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 -4 + 3w = 20 + 0 -4 + 3w = 20 Add '4' to each side of the equation. -4 + 4 + 3w = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 3w = 20 + 4 3w = 20 + 4 Combine like terms: 20 + 4 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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