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Simplifying 7w + -3(4w + -24) = 11 Reorder the terms: 7w + -3(-24 + 4w) = 11 7w + (-24 * -3 + 4w * -3) = 11 7w + (72 + -12w) = 11 Reorder the terms: 72 + 7w + -12w = 11 Combine like terms: 7w + -12w = -5w 72 + -5w = 11 Solving 72 + -5w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -5w = 11 + -72 Combine like terms: 72 + -72 = 0 0 + -5w = 11 + -72 -5w = 11 + -72 Combine like terms: 11 + -72 = -61 -5w = -61 Divide each side by '-5'. w = 12.2 Simplifying w = 12.2
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