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Simplifying 8w + -3 = 3(w + 4) Reorder the terms: -3 + 8w = 3(w + 4) Reorder the terms: -3 + 8w = 3(4 + w) -3 + 8w = (4 * 3 + w * 3) -3 + 8w = (12 + 3w) Solving -3 + 8w = 12 + 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. -3 + 8w + -3w = 12 + 3w + -3w Combine like terms: 8w + -3w = 5w -3 + 5w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + 5w = 12 + 0 -3 + 5w = 12 Add '3' to each side of the equation. -3 + 3 + 5w = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5w = 12 + 3 5w = 12 + 3 Combine like terms: 12 + 3 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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