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Simplifying 7w + -3(4w + 9) = 11 Reorder the terms: 7w + -3(9 + 4w) = 11 7w + (9 * -3 + 4w * -3) = 11 7w + (-27 + -12w) = 11 Reorder the terms: -27 + 7w + -12w = 11 Combine like terms: 7w + -12w = -5w -27 + -5w = 11 Solving -27 + -5w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -5w = 11 + 27 Combine like terms: -27 + 27 = 0 0 + -5w = 11 + 27 -5w = 11 + 27 Combine like terms: 11 + 27 = 38 -5w = 38 Divide each side by '-5'. w = -7.6 Simplifying w = -7.6
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