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Simplifying 4(3w + 5) + -3 = 5w Reorder the terms: 4(5 + 3w) + -3 = 5w (5 * 4 + 3w * 4) + -3 = 5w (20 + 12w) + -3 = 5w Reorder the terms: 20 + -3 + 12w = 5w Combine like terms: 20 + -3 = 17 17 + 12w = 5w Solving 17 + 12w = 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. 17 + 12w + -5w = 5w + -5w Combine like terms: 12w + -5w = 7w 17 + 7w = 5w + -5w Combine like terms: 5w + -5w = 0 17 + 7w = 0 Add '-17' to each side of the equation. 17 + -17 + 7w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7w = 0 + -17 7w = 0 + -17 Combine like terms: 0 + -17 = -17 7w = -17 Divide each side by '7'. w = -2.428571429 Simplifying w = -2.428571429
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