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Simplifying 3(10w + -18) = 14w + 10 + 8w Reorder the terms: 3(-18 + 10w) = 14w + 10 + 8w (-18 * 3 + 10w * 3) = 14w + 10 + 8w (-54 + 30w) = 14w + 10 + 8w Reorder the terms: -54 + 30w = 10 + 14w + 8w Combine like terms: 14w + 8w = 22w -54 + 30w = 10 + 22w Solving -54 + 30w = 10 + 22w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22w' to each side of the equation. -54 + 30w + -22w = 10 + 22w + -22w Combine like terms: 30w + -22w = 8w -54 + 8w = 10 + 22w + -22w Combine like terms: 22w + -22w = 0 -54 + 8w = 10 + 0 -54 + 8w = 10 Add '54' to each side of the equation. -54 + 54 + 8w = 10 + 54 Combine like terms: -54 + 54 = 0 0 + 8w = 10 + 54 8w = 10 + 54 Combine like terms: 10 + 54 = 64 8w = 64 Divide each side by '8'. w = 8 Simplifying w = 8
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