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Simplifying 4(3w + 2) = 7w Reorder the terms: 4(2 + 3w) = 7w (2 * 4 + 3w * 4) = 7w (8 + 12w) = 7w Solving 8 + 12w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 8 + 12w + -7w = 7w + -7w Combine like terms: 12w + -7w = 5w 8 + 5w = 7w + -7w Combine like terms: 7w + -7w = 0 8 + 5w = 0 Add '-8' to each side of the equation. 8 + -8 + 5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 0 + -8 5w = 0 + -8 Combine like terms: 0 + -8 = -8 5w = -8 Divide each side by '5'. w = -1.6 Simplifying w = -1.6
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