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Simplifying 11(w + -5) + 6(w + 4) = 20 Reorder the terms: 11(-5 + w) + 6(w + 4) = 20 (-5 * 11 + w * 11) + 6(w + 4) = 20 (-55 + 11w) + 6(w + 4) = 20 Reorder the terms: -55 + 11w + 6(4 + w) = 20 -55 + 11w + (4 * 6 + w * 6) = 20 -55 + 11w + (24 + 6w) = 20 Reorder the terms: -55 + 24 + 11w + 6w = 20 Combine like terms: -55 + 24 = -31 -31 + 11w + 6w = 20 Combine like terms: 11w + 6w = 17w -31 + 17w = 20 Solving -31 + 17w = 20 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 17w = 20 + 31 Combine like terms: -31 + 31 = 0 0 + 17w = 20 + 31 17w = 20 + 31 Combine like terms: 20 + 31 = 51 17w = 51 Divide each side by '17'. w = 3 Simplifying w = 3
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