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Simplifying 4(2w + 6) = 5(6w + -4) Reorder the terms: 4(6 + 2w) = 5(6w + -4) (6 * 4 + 2w * 4) = 5(6w + -4) (24 + 8w) = 5(6w + -4) Reorder the terms: 24 + 8w = 5(-4 + 6w) 24 + 8w = (-4 * 5 + 6w * 5) 24 + 8w = (-20 + 30w) Solving 24 + 8w = -20 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 24 + 8w + -30w = -20 + 30w + -30w Combine like terms: 8w + -30w = -22w 24 + -22w = -20 + 30w + -30w Combine like terms: 30w + -30w = 0 24 + -22w = -20 + 0 24 + -22w = -20 Add '-24' to each side of the equation. 24 + -24 + -22w = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -22w = -20 + -24 -22w = -20 + -24 Combine like terms: -20 + -24 = -44 -22w = -44 Divide each side by '-22'. w = 2 Simplifying w = 2
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