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Simplifying 4(3w + 4) + -20 = 3 + 5w Reorder the terms: 4(4 + 3w) + -20 = 3 + 5w (4 * 4 + 3w * 4) + -20 = 3 + 5w (16 + 12w) + -20 = 3 + 5w Reorder the terms: 16 + -20 + 12w = 3 + 5w Combine like terms: 16 + -20 = -4 -4 + 12w = 3 + 5w Solving -4 + 12w = 3 + 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 + 12w + -5w = 3 + 5w + -5w Combine like terms: 12w + -5w = 7w -4 + 7w = 3 + 5w + -5w Combine like terms: 5w + -5w = 0 -4 + 7w = 3 + 0 -4 + 7w = 3 Add '4' to each side of the equation. -4 + 4 + 7w = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7w = 3 + 4 7w = 3 + 4 Combine like terms: 3 + 4 = 7 7w = 7 Divide each side by '7'. w = 1 Simplifying w = 1
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