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Simplifying 8w + -4 = 5(w + 4) Reorder the terms: -4 + 8w = 5(w + 4) Reorder the terms: -4 + 8w = 5(4 + w) -4 + 8w = (4 * 5 + w * 5) -4 + 8w = (20 + 5w) Solving -4 + 8w = 20 + 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. -4 + 8w + -5w = 20 + 5w + -5w Combine like terms: 8w + -5w = 3w -4 + 3w = 20 + 5w + -5w Combine like terms: 5w + -5w = 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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