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Simplifying 7w + -3(4w + -8) = 11 Reorder the terms: 7w + -3(-8 + 4w) = 11 7w + (-8 * -3 + 4w * -3) = 11 7w + (24 + -12w) = 11 Reorder the terms: 24 + 7w + -12w = 11 Combine like terms: 7w + -12w = -5w 24 + -5w = 11 Solving 24 + -5w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5w = 11 + -24 Combine like terms: 24 + -24 = 0 0 + -5w = 11 + -24 -5w = 11 + -24 Combine like terms: 11 + -24 = -13 -5w = -13 Divide each side by '-5'. w = 2.6 Simplifying w = 2.6
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