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Simplifying 4(2w + -5) + -1(3w + -9) = 0 Reorder the terms: 4(-5 + 2w) + -1(3w + -9) = 0 (-5 * 4 + 2w * 4) + -1(3w + -9) = 0 (-20 + 8w) + -1(3w + -9) = 0 Reorder the terms: -20 + 8w + -1(-9 + 3w) = 0 -20 + 8w + (-9 * -1 + 3w * -1) = 0 -20 + 8w + (9 + -3w) = 0 Reorder the terms: -20 + 9 + 8w + -3w = 0 Combine like terms: -20 + 9 = -11 -11 + 8w + -3w = 0 Combine like terms: 8w + -3w = 5w -11 + 5w = 0 Solving -11 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 5w = 0 + 11 5w = 0 + 11 Combine like terms: 0 + 11 = 11 5w = 11 Divide each side by '5'. w = 2.2 Simplifying w = 2.2
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