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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 = -19w -24 + -19w = 11 Solving -24 + -19w = 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 + -19w = 11 + 24 Combine like terms: -24 + 24 = 0 0 + -19w = 11 + 24 -19w = 11 + 24 Combine like terms: 11 + 24 = 35 -19w = 35 Divide each side by '-19'. w = -1.842105263 Simplifying w = -1.842105263
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