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Simplifying 4(2w + -5) = 3w + 10 Reorder the terms: 4(-5 + 2w) = 3w + 10 (-5 * 4 + 2w * 4) = 3w + 10 (-20 + 8w) = 3w + 10 Reorder the terms: -20 + 8w = 10 + 3w Solving -20 + 8w = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -20 + 8w + -3w = 10 + 3w + -3w Combine like terms: 8w + -3w = 5w -20 + 5w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 -20 + 5w = 10 + 0 -20 + 5w = 10 Add '20' to each side of the equation. -20 + 20 + 5w = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 5w = 10 + 20 5w = 10 + 20 Combine like terms: 10 + 20 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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